At what interest rate (to the nearest hundredth of a percent) compounded annually will money in savings double in five years?

Answers

Answer 1

Answer: For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.

If we want the final value F to double in 5 years, F is then equal to P then n=5. The equation is now:

2P=P(1+i)^5
2=(1+i)^5
i=14.87% per year

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Help pleaseee! Thank you

Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 4.96(2.18)x in thousands of dollars. What was Mary’s initial investment?

Answers

Answer:

$4960.

Step-by-step explanation:

We have been given that Mary’s investment account can be modeled by the function, $M(x)=4.96(2.18)^x$ in thousands of dollars. We are asked to find Mary's initial investment.

We can see that the given function is an exponential function where, initial value is 4.96 and growth factor is 2.18.

Since the function given Mary's investment in thousands of dollars, so we need to multiply 4.96 by $1000.

$\text{Mary's initial investment}=4.96* \$1000$

$\text{Mary's initial investment}=\$4960$

Therefore, Mary's initial investment was $4960.

well, her initial investment happened at day 0, namely x = 0, let's check,

$\bf M(x)= 4.96(2.18)^x\qquad \boxed{x=0}\qquad M(0)= 4.96(2.18)^0 \n\n\n M(0)= 4.96(1)\implies M(0)=4.96$

Find an equivalent function to f(x) = 5(3)3x. f(x) = 125x(27)x
f(x) = 152x
f(x) = 5(27)x
f(x) = 135x

Answers

If you would like to find an equivalent function to f(x) = 5(3)^(3x), you can do this using the following steps:

f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x

The correct result would be f(x) = 5(27)x.

Answer:

The correct result would be f(x) = 5(27)x.

Step-by-step explanation:

Tim has four credit cards with the balances and APRs listed in the chart below. What will Tim's total monthly minimum creditcard payment need to be to pay off all four credit cards in 24 months?Credit CardBalanceAPR$1.260.0012%1896$900.00C $1.290.0016%$1,200.00a. $118.24
b. $162.62
c. $163.00
d. $221.93

Answers

Solving for the future values of the credit card balances:

1260(1 + 0.12/12)^24 = 1599.8656571502122308900(1 + 0.18/12)^24 = 1286.55253073612259711290(1 + 0.09/12)^24 = 1543.37345291648033351200(1 + 0.16/12)^24 = 1649.0625893406018547
Adding the future balances to obtain total bill:

1599.8656571502122308 + 1286.5525307361225971 + 1543.3734529164803335 + 1649.0625893406018547 = 6078.85
Solving for the annuity A (monthly payments for each account):

1599.87 = A [(((1 + 0.12/12)^24) - 1) / (0.12/12)] A = 59.31
1286.55 = A [(((1 + 0.18/12)^24) - 1) / (0.18/12)]A = 44.93
1543.37 = A [(((1 + 0.09/12)^24) - 1) / (0.09/12)]A = 58.93
1649.06 = A [(((1 + 0.16/12)^24) - 1) / (0.16/12)]A = 58.76
Adding the annuities together to obtain the minimum monthly payment:59.31 + 44.93 + 58.93 + 58.76 = 221.93

Therefore, the minimum monthly payment is $221.93. Among the choices, the answer is D.

Answer:

$221.93

Step-by-step explanation:

Mrs. Jones got a new freezer. She plugged it in, and it began to get cold. Thetemperature inside the freezer dropped 24 degrees in 6 hours. If the temperature
dropped at a steady rate, what was the change in the temperature in the freezer in one
hour?

Answers

The rate of change for one hour is 4°.
When you look at the problem it says the temperature dropped 24° in 6 hours . So if you divided 24 by 6 you get 4 which is the rate at which the temperature dropped per hour.

Will give brainliest
What is the measure of angle P in the figure shown here?

Answers

Answer:

Step-by-step explanation:

66*2=132

180-132=48

Simplify the square root of 5/32

Answers

√5/√32

Multiply both numerator and denominator by √32
√160/32
4√10/32
=√10/8

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