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Temka [501]
3 years ago
5

The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars

) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

<h2>$16,104.35</h2>

Step-by-step explanation:

the expression for compound interest is given as

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

A=$20,000

P=?

r=7.25%=0.0725

n=52 weeks

t=3 year

20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\

the manager need to invest $16,104.35

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Archeologists discover four outer walls of an ancient building, as shown.
solniwko [45]

15 sides

It’s the right answer

4 0
3 years ago
Does each equation represent exponential decay or exponential growth?
lisov135 [29]

Answer:

1. H = 5.9(0.82)^{t}. Exponential decay function.

2. y = 0.8(3.6)^{t}. Exponential growth function.

3. f(t) = 0.72(15)^{t}. Exponential growth function.

4. A = \frac{4}{9} (8)^{t}. Exponential growth function.

5. A = (\frac{4}{3})^{t}. Exponential growth function.

6.  H = \frac{7}{2} (\frac{5}{6} )^{t}. Exponential decay function.

7. g(x) = 0.3(x). Not an exponential function.

Step-by-step explanation:

1. H = 5.9(0.82)^{t}. This is an exponential decay function.

As the value of t increases H-value decreases.

2. y = 0.8(3.6)^{t}. This is an exponential function of growth.

As the value of t increases y-value also increases.

3. f(t) = 0.72(15)^{t}. This is an another example of exponential growth function.

As the value of t increases f(t)-value also increases.

4. A = \frac{4}{9} (8)^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

5. A = (\frac{4}{3})^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

6. H = \frac{7}{2} (\frac{5}{6} )^{t}. This is another an example of exponential decay function.

As the value of t increases, H-value decreases.

7. g(x) = 0.3(x). This is a non-exponential function. (Answer)

4 0
3 years ago
A relay race has 4 runners who run different parts of the race. There are 16
xz_007 [3.2K]
Your coach can select it 4 times I think
4 0
3 years ago
Evaluate. Express your answer in exact simplest form.
kumpel [21]

Answer:

6720

Step-by-step explanation:

The writing 8P5 represents the number of permutations of 8 elements  taken 5 at a time.

<u></u>

<u>First Method</u> :

8P5 = 8 × 7 × 6 × 5 × 4

       = 6720

<u>Second Method</u> :

8P5=\frac{8!}{\left( 8-5\right)!}

=\frac{8!}{ 3!}

=\frac{8 \times 7 \times 6 \times 5 \times 4 \times 3!}{ 3!}

= 8 \times 7 \times 6 \times 5 \times 4

= 6720

6 0
1 year ago
A cantaloupe weights 56 ounces there are 16 ounces in a pound how many pounds does the cantaloupe weight
Semenov [28]
It would be 3.5 as you start with 56 then take away 16 =40 then another witch is 24 the another 16 Is 8 so you have taken e16 away so far that's 3 pound and because you can take a full 16 off that makes it a half so final awnser is 3.5 56-16=40-16=24-16=8=3 pounds and a half hope I have helped you in any way
5 0
3 years ago
Read 2 more answers
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