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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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50/22 rounded to the hundredth
Fynjy0 [20]

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Round up to hundredth and your final answer is 2.27

hope that helps :)

3 0
3 years ago
Boots: $59.00, discount: 10 percent sales tax 5.5 percent
I am Lyosha [343]

Answer:

Total cost of boots = $56.02

Step-by-step explanation:

$59 x 0.90 = $53.10

$53.10 x 1.055 = $56.02

or

59 x 0.10 = 5.9

59 - 5.9 = $53.10

53.10 x 0.055 = $2.92 tax

$53.10 + $2.92 = $56.02

8 0
3 years ago
Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong
zepelin [54]

Answer:

a) strong negative linear correlation.

b) Weak or no linear correlation.

c) strong positive linear correlation.

Step-by-step explanation:

The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.

Now back to the question:

a) Near -1: as we said before, this means an strong negative (-1) linear correlation.

b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)

c) Near 1: strong positive (close to +1) linear correlation

3 0
3 years ago
Find the least common multiple of 18, 24, 42
Lana71 [14]

Answer: 504. Multiple for : 18, 24 and 42. Factorize of the above numbers : 18 = 2 • 32 24 = 23 • 3. 42 = 2 • 3 • 7

5 0
3 years ago
What expression represents the quotient?
Olenka [21]

Answer:

C

Step-by-step explanation:

Given

\frac{5x^2+8x+7}{4x}

Divide each term on the numerator by 4x

= \frac{5x^2}{4x} + \frac{8x}{4x} + \frac{7}{4x}

= \frac{5x}{4} + 2 + \frac{7}{4x}

8 0
3 years ago
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