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dangina [55]
3 years ago
14

keiko invested $2875 in a savings account which earns 3.15% interest compounded semiannually. What will the account be worth in

7 years?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0
Principal amount = P = $2875
Interest rate = r = 3.15% = 0.0315
Period = t = 7 years
Compunding periods = n = 2

The formula to be used is:

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

Using the values, we get:

A=2875(1+ \frac{0.0315}{2})^{2*7}  =3578.11

Thus, the worth of the account after 7 years of saving will be $3578.11
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Plz help fast I will mark brainiest!!!
mote1985 [20]

Answer:

Step-by-step explanation:

You’re supposed to use the points (4,-3) and (1,-4).

Slope = (difference of y-coordinates)/(difference of x-coordinates)

= (-3 - (-4))/(4 - 1) = 1/3

3 0
3 years ago
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In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0
3 years ago
What is the factored form of the polynomial? z2 − 10z + 25
Crank

Answer:

(z−5)(z−5)

Step-by-step explanation:

Let's factor z2−10z+25

z2−10z+25

The middle number is -10 and the last number is 25.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -10

Multiply together to get 25

Can you think of the two numbers?

Try -5 and -5:

-5+-5 = -10

-5*-5 = 25

Fill in the blanks in

(z+_)(z+_)

with -5 and -5 to get...

(z-5)(z-5)

5 0
3 years ago
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 15 minutes in 3 hours. How long di
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Answer:

35 Minutes

Step-by-step explanation:

15 minutes divided by 3 hours = 5 minutes an hour

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3 0
3 years ago
In 1990, 23.8% of 18-24 year-olds in Biddeford, Maine were attending college. About 10 years later, a random sample of 610 18-24
Vlada [557]

Answer:

There is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 610

p = 23.8% = 0.238

Alpha, α = 0.01

Number of 18-24 year-old attending college , x = 178

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.238\\H_A: p > 0.238

This is a one-tailed(right) test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{178}{610} = 0.2918

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.2918-0.238}{\sqrt{\frac{0.238(1-0.238)}{610}}} = 3.1201

Now, we calculate the p-value from the table.

P-value = 0.0009

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject the null hypothesis.

Conclusion:

Thus there is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%

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4 years ago
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