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myrzilka [38]
2 years ago
5

Justin invested $23,000 in an account paying an interest rate of 3.8% compounded quarterly. Assuming no deposits or withdrawals

are made, how much money, to the nearest dollar, would be in the account after 14 years?
Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Answer:

$39056

Step-by-step explanation:

As we know, the final Amount can be calculated with the formula for compound interest,

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

where,

A = Final Amount

P = Initial principal amount

r = rate of interest in decimal

n = number of times applied per time period

t = total time period

Now, according to the given data,

P = $23000

r = .038

n = 4

t = 14

so,

A = 23000(1 + \frac{.038}{4} )^{4(14)}

A = 39055.476

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Find the distance between the pair of points and then round your answer to the nearest tenth.
Travka [436]

Answer:

d = 9.4 units (nearest tenth)

Step-by-step explanation:

Given the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, distance between (-4, 5) and (4, 0) is calculated as follows:

Let (-4, 5) = (x_1, y_1)

(4, 0) = (x_2, y_2)

d = \sqrt{(4 - (-4))^2 + (0 - 5)^2}

d = \sqrt{(8)^2 + (- 5)^2}

d = \sqrt{64 + 25}

d = \sqrt{89}

d = 9.4 units (nearest tenth)

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B%20%5Csqrt%5B40404504x%20%5Cfrac%7Bx05121y%20%5Csqrt%5By%20%7C4%7C%20%5D%7B%3F%7D
atroni [7]

Answer:

The answer is 12 |17|7|5  ​ ​

what is the question?

Step-by-step explanation:

stan bts

6 0
2 years ago
Which of the following choices is closest to the distance (in miles) between points A and B? (5 points)
pshichka [43]

Answer:

i think it's B 3.46

Step-by-step explanation:

hope this helps

5 0
3 years ago
Find the slope of the line that passes through (10,7) and (1,9)
Simora [160]

Answer:

Step-by-step explanation:

Use the slope formula

(x2-x1)/(y2/y1)

substitute the values

(1-10)/(9-7)

solve

-9/-2

simplify

9/2 or 4.5

6 0
2 years ago
There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5:1. How many pens ar
Flura [38]

Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5<em>x</em> and number of blue pens be <em>x</em>.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5<em>x</em> + <em>x</em> = 24

⇒6<em>x</em> = 24

⇒x=\frac{24}{6}=4

So, number of red pens in the drawer = 5<em>x</em> = 5 × 4 = 20

Number of blue pens in the drawer = <em>x</em> = 4

6 0
3 years ago
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