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Zigmanuir [339]
3 years ago
10

jill bought a cd for $1000 that earns 4.2% apr and is compounded monthly. The cd matures in 2 years. How much will this cd be wo

rth at maturity?
Mathematics
2 answers:
OLEGan [10]3 years ago
7 0
A = P(1+r/12)^12t, where A = amount after two years, P = Initial amount = $1000, r =apr = 4.2% = 0.042, t = period = 2 years

Then,

A = 1000 (1+0.042/12)^12*2 = $1087.47
LUCKY_DIMON [66]3 years ago
7 0
The value at maturity will be given by compound formula given by:
FV=P(1+r/100*n)^n*t
where:
FV=future value=value at maturity
p=principle
r=rate
n=number of terms
t=time
Thus plugging our values in the formula we get:
P=$1000; r=4.2, t=2 years, n=12 terms
FV=1000(1+4.2/12*100)^2*12
FV=1000(1+0.0035)^24
FV=1087.469396
Thus the value at maturity will be $1087.469396
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You need to say how many cans go by a minute to be able to answer this question.

Step-by-step explanation:

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3 years ago
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Translate the phrase into a variable expression.
Viktor [21]

"the product of" ⇒ ___ * ___

86 ⇒ 86 . . . . . fills first blank

and

the depth of the river ⇒ d . . . . . fills second blank.

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3 years ago
Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much
lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}

(1.0275)^{16}P = 15000

P = \frac{15000}{(1.0275)^{16}}

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0
1 year ago
Which expression is equivalent to 4(x-3) ?
Lunna [17]

Answer:

To find the answer you just have to solve 4(x-3)

Step-by-step explanation:

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So B or 4x-12 is correct.

5 0
3 years ago
F(x) = x^2-3<br> What is the average rate of change on the interval [-5, 2] ?
Mumz [18]

Answer:

(-3).

Step-by-step explanation:

Over this interval, the change in the value of this function is:

f(-5) - f(2) = 22 - 1 = 21.

The corresponding change in the value of x:

(-5) - 2 = -7.

The average rate of change of function f over this interval is equal to the change in the function value divided by the corresponding change in x:

\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}.

Thus, the average rate of change of f(x) = x^{2} - 3 over the interval [-5,\, 2] would be (-3).

7 0
2 years ago
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