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ElenaW [278]
3 years ago
7

How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns

5.3% interest compounded weekly.
Mathematics
1 answer:
gogolik [260]3 years ago
5 0

Answer:

  $2355.06

Step-by-step explanation:

Use the compound interest formula, filling in the numbers you know. Then solve for the number you don't know.

  A = P(1 +r/n)^(nt)

where A is the account balance, P is the amount invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

Filling in the given values, we have ...

  4000 = P(1 +.053/52)^(52·10) = P(1.6984738)

  P = 4000/1.6984738 ≈ 2355.06

You would need to deposit $2355.06 in order to have $4000 in 10 years.

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Triangle ABC
Stolb23 [73]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

\qquad \sf  \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree

\qquad \sf  \dashrightarrow \: x\degree + 128\degree = 180\degree

\qquad \sf  \dashrightarrow \:x =  180\degree - 128\degree

\qquad \sf  \dashrightarrow \: x = 52\degree

Now, solve for y ~

\qquad \sf  \dashrightarrow \: 70\degree + 49\degree + y = 180\degree

\qquad \sf  \dashrightarrow \:  y + 119 = 180\degree

\qquad \sf  \dashrightarrow \:  y =  180  -  119\degree

\qquad \sf  \dashrightarrow \:  y = 61 \degree

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

8 0
2 years ago
Read 2 more answers
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.
Igoryamba

For two shots Pedro has four outcomes:

<u>1 shot | 2 shot</u>

score | score

score | not score

not score | score

not score | not score

The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:

1. 0.3·0.3=0.09;

2. 0.3·0.7=0.21;

3. 0.7·0.3=0.21;

4. 0.7·0.7=0.49.

In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.

Answer: 0.09.

8 0
3 years ago
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Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is
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Train A weighs 181 tons and train B weighs 70 tons.
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What is the slope for (0,1) and (3,0)
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\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}}\implies -\cfrac{1}{3}

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3 years ago
Donna feeds her dog 3/4
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The answer is 48. Because 36 divided by .75 or 3/4 is 48
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