Choose the appropriate formula for paying off a $6,500 loan to answer the question.
A is the amount you still owe, and t is the number of months you’ve been paying.
Show your work.
A = 6,500 – 250t t = 26 – 0.004A
How much will you owe on the loan after paying for 1 year?
Answers
After paying for 1 year, you will owe $3,500 on the loan as compound interest and simple interest on it.
What is compound interest?Compound interest is a type of interest where the interest earned on an initial investment or principal is added to the principal balance, and the interest is calculated based on the new, higher balance. This means that the interest earned on investment grows over time, as the principal balance increases.
Simple interest is a type of interest that is calculated only on the initial principal amount of a loan or investment, and not on any interest that has been earned or added to the principal.
According to the given information
The appropriate formula for paying off a $6,500 loan is:
A = 6,500 - 250t
To find out how much will you owe on the loan after paying for 1 year, we need to substitute t = 12 (since there are 12 months in a year) into the formula:
A = 6,500 - 250t
A = 6,500 - 250(12)
A = 6,500 - 3,000
A = 3,500
Therefore, after paying for 1 year, you will owe $3,500 on the loan.
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Related Questions
Is speed the rate of change in the velocity of a moving body?
Answers
No, speed is the rate of change of distance.
Velocity is the rate of change of displacement.
Distance is scalar quantity, it has just magnitude.
Displacement is vector quantity, it has both magnitude as well as direction. So, speed and velocity are scalar and vector respectively too.
At Denver international airport, 85% of recent flights have arrived in time. A sample of 11 flights is studied.
Answers
Answer:
Step-by-step explanation:
If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.
This can be solved by:
(0.85x11)= 9.35
Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.
The final answer= 9 flights
how to write exponents
Answers
Answer:
\(2\cdot2\cdot2\) = \(2^{3}\)
Step-by-step explanation:
\(---------------------------------\)
\(Writing\) \(exponents\) \(is\) \(fairly\) \(easy.\)
\(Here's\) \(an\) \(example:\)
\(5\cdot5\cdot5\cdot5\cdot5\) = \(5^{5}\) \(because\)
\(there\) \(are\) \(5\) \(fives\) \(that\) \(are\) \(being\) \(multiplied.\)
\(---------------------------------\)
\(Always\) \(remember,\) \(you\) \(don't\) \(multiply\) \(the\) \(whole\) \(number\) \(by\) \(the\) \(exponent.\)
\(---------------------------------\)
\(Here's\) \(an\) \(example:\)
\(6^{7}\) \(does\) \(not\) \(equal\) \(42\) \(because\) \(you\) \(have\) \(to\) \(multiply\) \(the\) \(6\) \(the\) \(number\) \(of\) \(times\) \(it\) \(says\) \(on\) \(the\) \(exponent.\)
\(Which\) \(means\) \(you\) \(multiply\) \(the\) \(six,\) \(seven\) \(times.\)
\(---------------------------------\)
Hope this helps! <3
\(---------------------------------\)
The horizontal cross section of a pentagonal prism is a _______?
Answers
Answer:cross section
Step-by-step explanation:
A pentagonal prism is sliced with a plane parallel to the base. This means that the cross section is a pentagon that is congruent to the base. The area of the cross section is 15 square inches.
plz rate this
Answer:
pentagon
Step-by-step explanation:
A pentagonal prism is sliced with a plane parallel to the base. This means that the cross-section is a pentagon that is congruent to the base.
Drag each expression to the correct location on the table.
e each algebraic expressions next to its corresponding verbal description.
Answers
Answer:
5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one
The lowest point in Japan is Hachiro-Gata with an elevation of -12 feet. The lowest point in the United States is Death Valley with an elevation of -282 feet. What is the difference in elevation between Hachiro-Gata and Death Valley
Answers
It is just long text .This is 8 grade . inequalities .I need just equitation .The rest I knew .
So short answer pls. Anybody
Thank you
Answers
My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.
How to explain the informationIn order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.
In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:
x y Total Profit
0 0 0
1 0 6
0 1 15
1 1 21
2 1 27
1 2 30
2 2 36
3 2 42
2 3 45
3 3 51
From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.
Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.
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Skip and Jena are selling raffle tickets to raise money for new basketball uniforms. Skip sold 2 tickets for every 7 tickets that Jena sold. If Jena sold 63 tickets how many did Skip sell? Use a double number line and equivalent ratios to justify your answer. please use a double number line to show your work
Answers
Answer:
gidetgfddtgfft5f5f5f5d5f6guhuhug5xtdrd4s4d5d6v7g7h8n8b7v6v6
Answer:
Let J represent the number of tickets Jose sells. Let M represent the number of tickets Mark sells. Make equations, if Mark sells 15 more tickets than Jose, the equation is J+15=M. Because we know that in between both of them they sell 63 raffle tickets, then M+J=63. Now plug in the value of M (J+15) into M+J=63. And you get (J+15)+J=63, which is 2J+15=63. Subtract 15 from both sides and get 2J=48. Now divide 48 by 2, J=24. So now you know Jose sold 24 tickets, and to find how many Mark sold, plug in 24 into J+15=M and get 24+15=M where M is 39. Now check, 24+39=63. So Mark sold 39 tickets and Jose sold 24.
Step-by-step explanation:
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
Answers
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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What did you learn completing economics
Answers
We learn by completing economics are understanding of supply and demand, perfect and imperfect competition, taxation, international trade, price controls, monetary policy, exchange rates, interest rates, unemployment, and inflation.
Define economics.Economics is the study of scarcity and how it affects how resources are used, how commodities and services are produced, how production and welfare increase over time, and a wide range of other complicated concerns that are extremely important to society. Economics is the study of scarcity and how it influences the utilization of resources, the creation of goods and services, the expansion of production and well-being over time, as well as many other significant and intricate societal issues.
Given
We learn by completing economics are,
To understand individual markets, the overall economy, and governmental policies, one must have a thorough understanding of supply and demand, perfect and imperfect competition, taxation, international trade, price controls, monetary policy, exchange rates, interest rates, unemployment, and inflation, among many other topics.
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437.683
Write a number with a 6 in it that is 10 times larger than the 6 in the number
above.
Answers
Answer:
437.786
Step-by-step explanation:
This is the number that you can multiply by 6
You earn $ for washing 4 cars
Answers
Answer:
okay?
how much? this isn't even a question!!
PLSSSSSSSSSSSSSSS HElpppppppppppppppppp
Answers
Answer:
28
Step-by-step explanation:
4 and 6 are listed and they are bigger and smaller than the non listed one making it 5
Answer:
48 cm
Step-by-step explanation:
First, you may want to find the length of the missing side.
You'll notice that the side across from the missing side is 14 cm. The other side that is across from the 14 cm side (and is parallel to the missing side) is 9 cm. So you would do 14-9 = 5 cm for the missing side.
Then, you just add up all of the side lengths to get the perimeter.
6+10+14+4+9+5 = 48 cm
HELP PLEASE I BEG
Juan had $19000 and chose to split the money into two different mutual funds. During the first year, Fund A earned 7% interest and Fund B earned 3% interest. If he received a total of $1042 in interest, how much had he invested into each account?
Juan invested $_____ into Fund A.
Juan invested $_____ into Fund B.
Answers
Answer:
Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Step-by-step explanation:
Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:
19000 x 0.07 + 0 x 0.03 = 1330
15000 x 0.07 + 4000 x 0.03 = 1170
11000 x 0.07 + 8000 x 0.03 = 1010
11500 x 0.07 + 7500 x 0.03 = 1030
11800 x 0.07 + 7200 x 0.03 = 1042
Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Which of the following expressions entered into a graphing calculator will
return the probability that a data value in a normal distribution is between a z-
score of -2.33 and a z-score of 0.17?
A. normalcdf(-2.33, 0.17)
B. normalcdf(2.33, 0.17)
C. normalcdf(0.17, 2.33)
D. normalcdf(-0.17, 2.33)
Answers
The expression that returns the probability that a data value in a normal distribution is between a z- score of -2.33 and a z-score of 0.17 is (a) normalcdf(-2.33, 0.17)
To calculate the probability between two z-scores is to calculate the area between the z-scores.
This is done using the following syntax: normalcdf(lower bound, upper bound)
From the question, the lower and the upper z-scores are -2.33 and 0.17
So, the formula would be normalcdf(-2.33, 0.17)
Hence, the expression is (a)
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Answer:
It is in fact A
Step-by-step explanation:
I just got it wrong
I’ll mark brainlist
NO LINKS
No explanation needed but if you want brainlist then u need to do explain
Answers
Answer:
B. 6/9 - 4/9
Step-by-step explanation:
Make sure each fraction has a common dominator
2/3 *3/3 = 6/9
4/9 = 4/9
6/9 - 4/9 = 2/9
Answer:
6/9 - 4/9, B
Step-by-step explanation:
what is angle NSR equal to?
Answers
The measure of the angle NSR is equal to 113 degrees
Calculating what is angle NSR equal to?From the question, we have the following parameters that can be used in our computation:
The circle
Using the angle of intersecting chords theorem, we have following equation
NSR = 1/2(Sum of major and minor arcs NS)
So, we have
NSR = 1/2 * (176 + 50)
Evaluate
NSR = 113
Hence, the angle is 113 degrees
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HELP ME!! whats the answer? no goofing around pleaze
Answers
Answer: A
Step-by-step explanation:
\(\frac{6.3\cdot \:10^8}{9\cdot \:10^2}\)
\(=\frac{6.3\cdot \:10^6}{9}\) --> Exponent rule for division, 10^8/10^2 = 10^6
= 700,000 --> In scientific notation, 7.0×10^5
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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Oliva picked 256 strawberries from the orchard fields. She divided strawberries evenly to 6 baskets. How many strawberries are in each basket? How many are leftover?
Answers
Answer:
42 in each basket 4 leftover
Step-by-step explanation:
6 divided by 256 = 42 R4 and the remainder is how many are leftover.
Please help meeeeee!
Answers
Answer:
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Step-by-step explanation:
A function f is given, and the indicated transformations are applied to its graph. Write an equation for the
final transformed graph.
(4.1) f(x) = |x|; shrink vertically by a factor of (3)
1
2
, shift to the left 1 unit, and shift upward 3 units.
(4.2) f(x) = (2) √
x; reflect in the x−axis, shift 1 units upwards
(4.3) f(x) = (2) √
x; reflect in the y−axis, shift 2 units downw
Answers
The final transformed graphs are 1) f'(x) = (1/2)|x + 1| + 3, 2) f'(x) = -√x + 1 and 3) f'(x) = -√x - 2.
1. Break down the transformations step by step.
Start with the function f(x) = |x|.
a. Shrink vertically by a factor of 1/2: Multiply the function by 1/2.
g(x) = (1/2)|x|.
b. Shift to the left 1 unit: Replace x with (x + 1).
h(x) = (1/2)|x + 1|.
c. Shift upward 3 units: Add 3 to the function.
f'(x) = (1/2)|x + 1| + 3.
Therefore, the equation for the final transformed graph is f'(x) = (1/2)|x + 1| + 3.
2. Start with the function f(x) = √x.
a. Reflect in the x-axis: Multiply the function by -1.
g(x) = -√x.
b. Shift 1 unit upward: Add 1 to the function.
f'(x) = -√x + 1.
Therefore, the equation for the final transformed graph is f'(x) = -√x + 1.
3. Start with the function f(x) = √x.
a. Reflect in the y-axis: Multiply the function by -1.
g(x) = -√x.
b. Shift 2 units down: Subtract 2 from the function.
f'(x) = -√x - 2.
Therefore, the equation for the final transformed graph is f'(x) = -√x - 2.
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Wayward shoes spends $13 making each pair of its slip-on sneakers. Last week, they sold 95 pairs of these sneakers for $45 each. How much profit did Wayward shoes make last week.
Answers
Answer:
$3040 profit made
Step-by-step explanation:
$13×95=$1235 cost to make all the shoes they sold
$45×95=$4275 money she made
$4275-$1235=$3040 profit
Electric utility poles in the form of right cylinders are made out of wood that costs $12.09 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 25 ft. Round your answer to the nearest cent.
Answers
Step-by-step explanation:
Volume of a cylinder = pi r^2 h diameter =1.5 ft so r = .75 ft
pi * .75^2 * 25 = 44.18 ft^3
Find price (based on $ 12.09 /ft^3)
44.18 ft^3 * $ 12.09 /ft^3 = $ 534.12
The two top concert tours in 2016 were concert A and concert B. Based on average ticket prices, it cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B. Three tickets for concert B cost a total of $687. How much did an average ticket cost for each tour?
Answers
The average ticket cost for each concert is given as follows:
Concert A: $188.83.Concert B: $95.67.How to obtain the ticket costs?The ticket costs are obtained by a system of equations, for which the variables are given as follows:
Variable a: cost for Concert A.Variable b: cost for Concert B.It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:
6a + 6b = 1707
a + b = 284.5.
Three tickets for concert B cost a total of $687, hence the cost for concert B is of:
3b = 687
b = 287/3
b = $95.67.
Replacing into the first equation, the cost for concert A is given as follows;
a = 284.5 - 95.67
a = $188.83.
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11) The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees Fahrenheit with standard deviation of 5 degrees. What is the probability that a that temperature is greater than 68 degrees?
Answers
What is the size of the exterior and interior angle of a regular polygon if it has 3 sides
Answers
Answer:
120° and 60°
Step-by-step explanation:
The sum of the exterior angle of a polygon is 360°, then
exterior angle = 360° ÷ 3 = 120°
The exterior and interior angle sum to 180°, then
interior angle = 180° - 120° = 60°
Container A has 300 liters of water, and is being filled at a rate of 6 liters per minute. Container B has 900 liters of water, and is being drained at 2 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
Answers
It will take 150 minutes for the two containers to have the same amount of water.
To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:
m = |A - B| / (a - b)
where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.
In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:
m = |300 - 900| / (6 - 2)
m = |-600| / 4
m = 600 / 4
m = 150 minutes
Therefore, it will take 150 minutes for the two containers to have the same amount of water.
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What is the inequality in factored form that describes the set of values that is greater than the quadratic function with zeros –12 and 3 and includes the boundary point (–4.5, –450). y > 8(x – 3)(x + 12) y > 8(x + 3)(x – 12) y > –8(x + 3)(x – 12) y > –8(x – 3)(x + 12)
Answers
The inequality will be represented as y > 8(x – 3)(x + 12).
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that the inequality in a factored form describes the set of values that is greater than the quadratic function with zeros –12 and 3 and includes the boundary point (–4.5, –450).
The inequality will be written as below,
y > 8(x – 3)(x + 12).
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Rectangle ABCD has coordinates A(−10, 5), B(10, 5) , C(10, 0), and D(−10, 0). Rectangle A′B′C′D′ has coordinates A′(−2, 1), B′(2, 1), C′(2, 0) , and D′(−2, 0) . Which transformation describe why rectangles ABCD and A′B′C′D′ are similar? Responses Rectangle ABCD was reflected across the y-axis to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was reflected across the y -axis to form rectangle, , , A prime B prime C prime D prime, . , Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was dilated by a scale factor of 5 to form rectangle, , , A prime B prime C prime D prime, . Rectangle ABCD was dilated by a scale factor of 15 to form rectangle A′B′C′D′ . , Rectangle , A B C D, , , , was dilated by a scale factor of , , 1 over 5, , to form rectangle, , A prime B prime C prime D prime, , . Rectangle ABCD was rotated 90° counterclockwise to form rectangle A′B′C′D′.
Answers
The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.
Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.
This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.
The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.
The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.
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