Answer:
c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
Jina's dance recital started at 4:46 PM. It ended at 6:13 PM. How long did the recital last?
Answer:
Jina's recital lasted 2 hours and 7 minutes
Hope that helped
Step-by-step explanation:
Answer:
2 hour and 7 minutes is the answer
Find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250.
Answer:
$159.24 is the balance after 9 months is the answer that you seek
Step-by-step explanation:
Answer:
the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.
Step-by-step explanation:
To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:
FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)
where:
FV = future value
Pmt = monthly payment
r = annual interest rate
n = number of compounding periods per year
t = time in years
In this case, we have:
Pmt = $250
r = 8%
n = 12 (since payments are made monthly)
t = 9/12 = 0.75 (since 9 months is three-quarters of a year)
Substituting these values into the formula, we get:
FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)
FV ≈ $2,366.98
Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.
Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?
She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.
Please Help Me With This Math ;(
A line passes through point (1,-5) and has a slope of -7. Write an equation in Ax+By=C form for this line. Use integers for A,B, and C.
Step-by-step explanation:
since we have the slope and a point, we can start with the point-slope form :
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point :
y - -5 = -7(x - 1) = -7x + 7
y + 5 = -7x + 7
y + 7x = 2
Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.
R(x) = 16x
C(x) = 12x + 1,424
At what number of gidgets sold will the company break-even (the point where revenue equals cost)?
Considering the given equations for revenue and cost, the company will break-even when 356 widgets are sold.
What is the break-even point?The break-even point is the value of x for which:
R(x) = C(x).
In this problem, the functions are:
R(x) = 16x.C(x) = 12x + 1424.Hence:
R(x) = C(x)
16x = 12x + 1424
4x = 1424
x = 1424/4
x = 356
The company will break-even when 356 widgets are sold.
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The marked price of a pair of pants is $100. If VAT of 15% is payable, then the price paid by the customer is
Answer:
$115
Step-by-step explanation:
VAT = 15% of marked price
= 0.15 * 100
= $ 15
Price paid by the customer = 100 + 15
= $ 115
One cup of spaghetti sauce covers 2.5 cups of spaghetti noodles. How many cups of noodles will 3.5 cups cover?
Answer:
8.75 cups of noodles will be covered.
here is another one that i need help on What number represents the same amount as 8 hundreds + 10 tens + 0 ones
Answer:
810 is the number that represents the same amount.
Hope this helps :)
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is -2(-12y+5)+4=8(3y+2)-22 a conditional equation an identity or a contradiction
Answer:
0 = 0 (All real numbers are solutions.)
Step-by-step explanation:
is -2(-12y+5)+4=8(3y+2)-22 a conditional equation an identity or a contradiction
-2(-12y + 5) + 4 - 8(3y - 2) + 22 = 0
24y - 10 + 4 - 24y - 16 + 22 = 0
-6 - 16 + 22
- 22 + 22 = 0
0 = 0 (All real numbers are solutions.)
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
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Find a.the mean b. the median mass of the fish
Answer: Mean = 1.15 Median = 1
Step-by-step explanation: add all numbers up and then divide it by 4 which will give you the mean.
Median: 0.9 and 1.1 are the 2 middle numbers in which you will add together then divide by 2 to get the exact middle value which is 1 exactly.
NEED HELP FAST!
Evaluate. 12÷(2+2\3)^2
a. 6 4\9 ( six and four ninths)
b. 4 1\2 ( four and a halves)
c. 3 2\3 ( three and wo thirds)
d. 1 11\16 ( one and eleven sixteenths)
Answer:
it is 42
Step-by-step explanation:
12 ×9/64
when it simplify u get
42
Answer:
it is 42 when you simplify you get 42
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
which comprison is correct?
a. 3/2 < 1/3
b. 3/8 > 1/6
c. 11/6 < 3/4
d. 3/5 = 5/8
Answer:
The second one
Step-by-step explanation:
USE THE BUTTERFLY TECHINQUE
3/8 O 1/6
18 3/8 O 1/6 8
18 > 8
3/8 > 1/6
Answer:
B is correct
3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes
In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48
The length of BD is 22.
In the given scenario, let's consider the following information.
AD = 8
AE = 6
EC is 12 more than BD.
To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.
From the given information, we know that AD = 8 and AE = 6.
Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.
First, let's find the intercepted arc corresponding to AD:
Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16
Similarly, we can find the intercepted arc corresponding to AE:
Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12
Now, we know that EC is 12 more than BD.
Let's assume the length of BD as x.
BD + 12 = EC
Now, let's consider the intercepted arcs theorem:
Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C
16 - 12 = Angle B - Angle C
4 = Angle B - Angle C.
Since Angle B and Angle C are vertical angles, they are congruent:
Angle B = Angle C.
Therefore, we can say:
4 = Angle B - Angle B
4 = 0
However, we have reached an inconsistency here.
The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.
As a result, we cannot determine the length of BD based on the given information.
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3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
Miguel's town voted on a new speed limit. Of the votes received, 16 were in favor of the new
speed limit and 16 were opposed. What percentage of the votes were in favor of the new
speed limit?
Write your answer using a percent sign (%).
Answer:
Exactly 50% of the votes were in favor of a new speed limit.
Step-by-step explanation:
We are given that 16 votes were in favor of a new speed limit and 16 votes were not. From this, we can determine the total amount of votes.
\(16 + 16 = 32 \ \text{total votes}\)
Then, using this information we can find the percentage of how many were in favor of the vote.
If 16 of the votes were in favor, we can divide these votes by the total votes to get a percentage.
\(\displaystyle \frac{16}{32}=\frac{8}{16}=\frac{4}{8}=\frac{2}{4}=\frac{1}{2}=0.5\)
Then, we multiply this decimal by 100 in order to convert our answer to a percentage form.
\(\displaystyle 0.5 \times 100 = 50\%\)
Therefore, 50%, or half of the voters, were in favor of a new speed limit.
Use the graph to answer the question.
Determine the translation used to create the image.
A. 7 units to the right
B. 7 units to the left
C. 3 units to the right
D. 3 units to the left
The correct option is A, we have a translation of 7 units to the right.-
How to determine the translation?To find it, we need to analyze two correspondent vertices.
We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)
Taking the difference between that, we will get:
A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)
The first value gives the horizontal translation and the second the vertical one
So,we have a translation of 7 units to the right, the correct option is A.
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Y+5<3 inequality solution
Answer:
y=2
Step-by-step explanation:
y + 5 < 3
- 5 -5
y = 2
.................................
f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g
The value of the function operation f - g(x) is 3x² + x
What is Function OperationsFunction operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.
Addition and subtraction of functions:
A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.
Multiplication of functions:
Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.
Composition of functions:
Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.
In this problem, we have two functions which are;
f(x) = 3x² + 1g(x) = 1 - xThe value of (f - g)(x) = 3x² + x
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Question:
Given the demand equation p=190/q+10 where 10<0<85, for what value of q is | n | a maximum? For what value is it minimum?
The maximum and minimum value of η at q = 10 and q = 85 respectively.
The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.
η is the elasticity of demand.
Then, the elasticity of demand is given as:
η = ( dq/ dp) × ( p / q )
Now, we have p = 190/ (q + 10)
Therefore,
p ( q + 10 ) = 190
pq + 10p = 190
q = ( 190 - 10p ) / p
Now,
dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )
dq / dp = ( -190/ p² )
Substituting these values in the elasticity demand,
η = ( dq/ dp) × ( p / q )
η = ( -190/ p² ) × ( p / q )
η = ( -190/ pq )
η = ( -190/ [190 / (q + 10 ) ]q )
η = [ - ( q + 10 ) / q ]
| η | = | - ( q + 10 ) / q |
η = ( q + 10 ) / q = 1 + 10/q
The critical point is when | η' | = 0.
η' = ( d / dq ) ( 1 + 10/q )
η' = - 10/ q²
- 10/ q² = 0
Hence, - 10/ q² is not defined.
Therefore, the function is not defined at q = 0.
Therefore, q = 0 is not a solution.
We have 10 ≤ q ≤ 85
The value of functions at the endpoint,
At q = 10,
η = ( 1 + 10/q )
η = ( 1 + 10/10 )
η = 1 + 1 = 2
At q = 85,
η = ( 1 + 10/q )
η = ( 1 + 10/85 )
η = 1.11764
Therefore, the absolute value of the elasticity of demand is maximum at q = 10.
The absolute value of the elasticity of demand is minimum at q = 85.
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Hector tosses a coin 80 times and gets 46 heads and 34 tails. What is the relative frequency of tails? 0 34% O 42.5% O 50% O 57.5%
Explanation:
The relative frequency of an outcome is the number of times you get this outcome divided by the number of times the experiment was repeated:
\(\frac{\#\text{tails}}{\#\text{times Hector tosses the coin}}=\frac{34}{80}=0.425\)To find it as a percentage we just have to multiply by 100:
\(0.425\times100=42.5\text{ \%}\)Answer:
42.5%
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a. 12 yd
b. 36 yd
54 yd
d. 144 yd
Please select the best answer from the choices provided
Answer:
B. 36 yd
Step-by-step explanation:
I calculated it logically
The standard deviation of a population is 1.9. What is the margin of error? Enter your answer in the box. ±
The margin of error is defined as follows:
M = 1.9z/sqrt(n).
In which:
z is the critical value.n is the sample size.What is a z-distribution confidence interval?The bounds of the confidence interval are given as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.The margin of error is then given as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
Missing InformationThe problem is incomplete, hence the general procedure to obtain the sample size was presented.
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how to answer the (a) question?
help please
i believe its 4
Step-by-step explanation:
This is from my prep guideI will provide the answer options in another picture
In order to determine the corresponding graph to the given function f(x), consider the y-intercept of the function (the value of the y-coordinate of the curve when x = 0).
The y-intercept is the value of f(x) for x= 0. Replace x = 0 into the given function:
\(f(0)=(\frac{1}{2})^{0+1}+3=\frac{1}{2}+3=\frac{7}{2}\)Then, the point of intersection of the curve with the y-axis is (0 , 7/2) or (0 , 3.5).
You can notice that from the given answer choices, that option two (up right side) has the required y-intercept. Then, that graph matches with the given function.