The real rate of interest on the loan is 1.89%
How to determine the real rate of interest on the loan?Real rate of interest is the interest rate that has been adjusted to remove the effects of inflation.
The real rate of interest can be calculated using the formula:
R = (n - f)/(1 + f)
where n is the nominal interest rate and f is the inflation rate
We have:
n = 8% = 0.08
f = 6% = 0.06
Using the formula:
R = (0.08 - 0.06)/(1 + 0.06)
R = 0.0189
R = 1.89%
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Please help me! Thanks.
Answer: Answer:
The perimeter of the polygon are
PQ = 5
RS = 5
PR = √74 = 8.60
QS = √74 = 8.60
QR = 7
Step-by-step explanation:
To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula
d = √(x _2 - x_1)^2 + (y_2 - y_1)^2
Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = 4
PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2
= √ 5^2 + 0^2
= √ 25
= 5
Between R( 5 , -3) and S ( 0 , -3)
x_1 = 5
y_1 = -3
x_2 = 0
y_2 = -3
RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2
= √( -5)^2 + ( -3 + 3)^2
= √ 25 + 0
= √ 25
= 5
Between P( 0 , 4) and R (5 , -3)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = -3
PR = √( 5 - 0)^2 + ( -3 - 4)^2
= √ 5^2 + (-7)^2
= √ 25 + 49
= √ 74
= 8.60
Between Q ( 5 , 4) and S(0 ,-3)
x_1 = 5
y_1 = 4
x_2 = 0
y_2 = -3
QS = √ ( 0 - 5)^2 + ( -3 - 4)^2
= √ -5^2 + -7^2
= √ 25 + 49
= √ 74
= 8.60
Between Q( 5,4) and R(5 , -3)
x_1 = 5
y_1 = 4
x_2 = 5
y_2 = -3
QR = √ (5 - 5)^2 + ( -3 - 4)^2
= √ 0^2 + (-7)^2
= √ 0 + 49
= √ 49
= 7
Step-by-step explanation:
5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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"Patricia drank one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces Patricia has left in her glass. Include two terms in your expression."
Answer:
The amount of lemonade Patricia drank is 1/4 p ounces.
Step-by-step explanation:
Answer:
The amount of lemonade Patricia drank is 1/4 p ounces.
I just did this in edmentum
Step-by-step explanation:
9.6 + [(3.1 x 2) - 2.3] + 4 to the 2nd power
Evaluate 8 * 3 ^ x for a ) x = - 2 and (b) * x = 3 Write your answers in simplest form
Answer:
a. \(\frac{8}{9}\) b. 216
Step-by-step explanation:
hello?! i need help what is the value of my dads duck farm?
Answer:
It’s worth a pair of cozy slippers with a nice warm bowl of milk
Step-by-step explanation:
Which expression is equivalent to 1/4(20z+24)?
Answer:
-5z-6Step-by-step explanation:
-1/4 x 20z = -5z
24 x -1/4 = -6
So we have -5z-6. So the expression equivalent to 1/4(20z+24) is -5z-6.
what is importance of banks to ecomics
Answer:
They do transactions from such a large distance
Step-by-step explanation:
Banks make it far easier for a complex economy to carry out the extraordinary range of transactions that occur in goods, labor, and financial capital markets. Banks are a critical intermediary in what is called the payment system, which helps an economy exchange goods and services for money or other financial assets.
Please help I don’t know which to multiply or decide
a)
Answer:
Explanation:
From the information given, it costs $23 to rent a bike for 4 hours. Let x represent the number of hours that a customer gets per dollar. We have the following equations
4 = 23
x = 1
By cross multiplying,
x * 23 = 4 * 1
23x = 4
x = 4/23 = 0.17
A customer gets 0.17 hour per dollar
84102 - 1052=?
pasagot po pls with solution
Answer:
83050
Step-by-step explanation:
that's the answer to the question
Solve the inequality.
Answer:
D. t < -4 or t > 5
Step-by-step explanation:
Inequality 1
5t - 1 < -215t < -20t < -4Inequality 2
4t + 2 > 224t > 20t > 5⇒ t < -4 or t > 5
⇒ Option D
Graph
Answer:
\(\sf D. \quad t < -4, t > 5\)
Step-by-step explanation:
Given system of inequalities:
\(\begin{cases}5t-1 < -21\\4t+2 > 22\end{cases}\)
Solve the inequalities by isolating t.
Inequality 1
\(\sf \implies 5t-1 < -21\)
\(\implies \sf 5t-1+1 < -21+1\)
\(\sf \implies 5t < -20\)
\(\sf \implies 5t \div 5 < -20 \div 5\)
\(\sf \implies t < -4\)
Inequality 2
\(\sf \implies 4t+2 > 22\)
\(\sf \implies 4t+2-2 > 22-2\)
\(\sf \implies 4t > 20\)
\(\sf \implies 4t \div 4 > 20 \div 4\)
\(\sf \implies t > 5\)
Therefore, the solution to the system of inequities is:
\(\sf t < -4, t > 5\)
When graphing inequalities:
< or > : dashed lines≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the lineTherefore, to graph the given system of inequalities:
Draw a straight dashed line at t = -4 and shade under the line.Draw a straight dashed line at t = 5 and shade above the line.(Refer to attachment for the graph).
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what are you guys studying?
Answer:
im study about history it was my favourite subject!
What is 5a^2b + 15ab^2 factories fully
Answer:
\(5 {a}^{2} b + 15a {b}^{2} = \)
\(5ab(a + 3b)\)
the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
ben has a coupon for an additional 15% off of any item in a store. He uses his coupon to buy a shirt who's sale price is already 20% off the original price. he pays $14.96 and there is no sales tax. What is the original price of the shirt.
EXPLANATION
Let's see the facts:
Discount= 15%
Shirt price = 20% off from original = 80%*original price = 0.8*original price
Amount paid = $14.96 [No tax]
Let's call x to the original price of the shirt, the equation would be as follows:
14.96 = (1-0.15)*(1-0.2)*x [Subtracting numbers]
14.96 = 0.85*0.8*x [Multiplying like numbers]
14.96 = 0.68x [Dividing both numbers by 0.68]
14.96/0.68 = x [Simplifying
Which data set could be represented by
the box plot shown below?
H
0 2 4 6 8
Choose 1 answer:
A
Creating box plots
B
C
D
10 12 14 16 18 20
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
The given box plot represented by the data sets in option A and B.
From the given box plot, we have
Minimum value = 3
Maximum value = 18
First quartile (Q1) = 7
Third quartile (Q3) = 13
Median = 10
Option A:
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
Median = 12
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option B:
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Option C:
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option D:
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Therefore, the correct options are B and D.
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Solve the inequality.
|4x - 1| ≥ 23
I need some help if anyone knows it!
The value of the inequality |4x - 1| ≥ 23 will be
x ≥ 6.
How to calculate the inequality?It should be noted that the inequality given is expressed as:
|4x - 1| ≥ 23
This will be
|4x - 1| ≥ 23
4x ≥ 23 + 1
4x ≥ 24
Divide
4x/4 ≥ 24/4
x ≥ 6
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The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)
A saleswoman earns 7% commission on all the merchandise that she sells. Last month she sold $8,000 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
560
Step-by-step explanation:
8000x.07
what is -3 1/2 - (-12 1/4) simplified as?
Answer:
35/4
Step-by-step explanation:
-3 1/2=-7/2
-12 1/4=-49/4
------------------
-7/2-(-49/4)
-7/2+49/4
-14/4+49/4
35/4
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Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
NO LINKS PLS AND IF U DON'T KNOW KNOW THE ANSWER THEN DON'T ANSWER PLEASEJavin cuts a block of wood along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 2 in 3 in 4 in A. A rectangle, 4 inches by 3 inches O B. A rectangle, 4 inches by 2 inches C. A square, 2 inches by 2 inches D. A rectangle, 2 inches by 3 inches
Answer:
4 inches by 3 inches. It should actually be 10 inches by 6 but its not on there.
a publisher reports that 75% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 200 found that 68% of the readers owned a particular make of car. state the null and alternative hypotheses. Determine the P value of the test statastic. Round your answer to four decimal places.
P value of the test statistic = 0.0220
NULL and alternative hypothesis
In statistical hypothesis testing, null and alternative hypotheses are used. A test's null hypothesis always predicts that there will be no effect or relationship between variables, whereas the alternative hypothesis states your research prediction of an effect or relationship.Given that,
p = 0.75
n =200
p^ = 0.68
Testing statistic;
p = 0.75
q = 1 - p
= 1 - 0.75
= 0.25
\(Z = \frac{p^ -p }{\sqrt{\frac{p.q}{n} } }\)
= 0.68 - 0.75 / √(0.75 × 0.25)/200
= -2.2861
Z = -2 .29
p value = 2 × (Z ≤ -2.29 )
= 2 × 0.0110
p value = 0.0220
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4 and 3 half's divided by 2 and 7
halfs minus 8
Answer:
4/3/2/7-8= -7
Step-by-step explanation:
The equation C = (F – 32) is used to convert Fahrenheit temperature to Celsius temperature. What is the value for F, after the equation is rearranged?
5
OF=
+ 32
OF=
32
OF =
= c +32
C - 32
OF=
C = F - 32
F = C + 32
At a gourmet coffee shop. 3 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112. On the grid below, graph a line that shows how the cost of these coffee
beans varies proportionally with the number of pounds purchased. Use your graph to identify the unit rate for these coffee beans.
PLEASE ITS DUE IN A HOUR
Answer:
In the question, it says that this is a proportional relationship.
A proportional relationship is something like:
y = k*x
So when we have x = 0, we also need to have y = 0.
For the case in the question, this does not happen, so i guess that the actual question is:
"At a gourmet coffee shop. 3.5 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112."
We can define:
x = amount of coffee
y = price of that coffee
Now we have two pairs:
$56 to get 3.5lb
$112 to get 7lb
Then we have two points:
(3.5lb, $56)
(7lb, $112)
We can draw these two points and then connect them with a line, this line will represent the proportional relationship.
Now we need to look at the value 1 in the x-axis, then draw a vertical line
At the point where this vertical line intersects the graph, we draw a horizontal line, and the value of y is the value at which this horizontal line intersects the y-axis.
(you can see a rough sketch of this in the image below)
The solution is 1lb of coffee costs $16.
Express answers in terms of pi.
1. The radius of a cylinder is 10; the height is 2. Find:
a. circumference of the base
b. area of the base
c. L.A.
d. T.A,
e. V
2. Repeat Excercise 1, using a cylinder in which r = 2 and h = 10.
a. b. c. d. e.
Answer:
1 b
2.c
ythis the best choice
The circumference and the areas and the volumes are calculated below
Calculating the circumference and the areasFor a cylinder with a radius of 10 and a height of 2:
a. The circumference of the base is 2πr = 2π(10) = 20π.b. The area of the base is πr² = π(10)² = 100π.c. The lateral area is 20π(2) = 40π.d. The total surface area is the sum of the lateral area and the areas of the two bases. 2πr² + 2πrh = 2π(10)² + 2π(10)(2) = 400π + 40π = 440π.The volume of the cylinder is given by the formula V = πr²h = π(10)²(2) = 200π.For a cylinder with a radius of 2 and a height of 10:
a. The circumference of the base is 2πr = 2π(2) = 4π.b. The area of the base is πr² = π(2)² = 4π.c. The lateral area is 4π(10) = 40π.d. The total surface area is 2πr² + 2πrh = 2π(2)² + 2π(2)(10) = 8π + 40π = 48π.e. The volume of the cylinder is given by the formula V = πr²h = π(2)²(10) = 40π.Read more about circumference at
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The table shows the amount of cake 333 friends ate. 3/10 5/10 1/10 How much cake did all three friends eat combined?
Answer:
9/10
Step-by-step explanation:
Combined usually means to add. You only add the top.
Answer:
9/10 okqkwlqlakwlwlaka
−6x+14<−28 AND 3x+28≤25
Answer: -1≥ x > 7 or x>7 and x ≤ -1
Step-by-step explanation:
-6x + 14 < -28
-14 -14
-6x < -42
x> 7
AND
3x + 28 ≤ 25
-28 -28
3x ≤ -3
x ≤ -1
x>7 and x≤ -1
Answer
x>7 and x<-1
Step-by-step explanation:
1a.) -6x+14<-28
2a.) subtract 14 from 14 and -28 (what you do to one you do to other)
3a.) you are left with -6x<-42
4a.) divide by -6 eache side of "<"
5a.) you HAVE to flip the sign when you divide by a negative
6a.) x>7
1b.) 3x+28<25
2b.) subtract 28 from 28 and 25 (what you do to one you do to other)
3b.) 3x<-3
4b.) divide both sides by 3
5b.) x<-1