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anastassius [24]
3 years ago
14

Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently

$10,994.58. How often does the interest compound?
A. daily

B. monthly

C. quarterly

D. annually
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0
Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.

If compounded annually, total = <span> <span> <span> 10,841.24 </span> </span> </span>
If compounded quarterly, total = <span> <span> <span> 10,955.64 </span>
</span></span><span>If compounded monthly, total = </span> <span> <span> <span> 10,981.82 </span> </span> </span>
If compounded daily, total = <span> <span> <span> 10,994.58 </span> </span> </span>
Therefore the answer is "A", daily.

Source:
http://www.1728.org/compint3.htm


<span> </span><span><span> </span> </span>

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Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?
son4ous [18]

Answer:

The answer is

<h2>-\frac{9}{7}</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

G(–2, 6) and H(5, –3)

The slope is

m = -3 - 6 / 5 -- 2 = - 9 /7

Hope this helps you

3 0
3 years ago
Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.
rodikova [14]

Answer:

A,B,andE

Step-by-step explanation:

Or The length AB is 2, The length A'B' is 3, and The scale factor is Two-Thirds

6 0
3 years ago
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Can someone help me with this math problem, please? Thanks!
vichka [17]
Answer: D, -1
First, plug in the value -1 for x in f(x) first. \frac{1}{(-1)^2+1} can then be simplified to \frac{1}{2} because (-1)^2=1. Next, put the value -1 for x in the equation g(x). This will look like - \frac{1}{2}.

The final step is to evaluate f(x) divided by g(x). f(x) = 1/2 and g(x) = -1/2, so when divided, you get -1.
3 0
3 years ago
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Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C
hodyreva [135]

The given question can be solve using quadratic formula.

The correct option is (c) 3x^2 +8x -10=-8.

Given:

The given equation is,

x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}---------------------------(1)

Write the general quadratic equation.

ax^2 + bx +c=0

Write the quadratic formula.

x  =\dfrac {-b \pm  \sqrt{(b^2 - 4ac)} } {2a}------------------------------- (2)

Compare equation (1) and (2).

a=3\\b=8\\c=-2

Substitute the value of a, b and c in general quadratic.

3x^2 +8x -2=0

Subtract 8 from each side of above equation.

3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8

Thus, the correct option is (c) 3x^2 +8x -10=-8.

Learn more about quadratic equation here:

brainly.com/question/17177510

6 0
2 years ago
4*7, 5384 divided by 7538 ​
Darya [45]

Answer:40.00212258

Step-by-step explanation:

(4 x 75384) ➗ 7538

301536 ➗ 7538=40.00212258

7 0
3 years ago
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