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sesenic [268]
2 years ago
7

Gia opened two savings accounts at two different banks. One account earns an annual 3.4% simple interest, and the other earns ha

lf as much. If she deposited $500 in each account, how much total interest will she have earned in 3 years? A. $76.50 B. $153.00 C. $765.00 D. $38.25
Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
6 0

Answer:

The correct option is;

A. $76.50

Step-by-step explanation:

To solve the question, we note the formula for simple interest = Principal × Rate × Time/100

That is

S.I. = \frac{Principal \times Rate \times Time}{100} = \frac{P \times R \times T}{100}

Where:

P = Principal Amount = $500.00

R = Interest Rate = 3.4%

T = Time period = 3 Years

Therefore,

S.I. = \frac{500 \times 3.4 \times 3}{100} = \$51

For the second account, we have

P = Principal Amount = $500.00

R = Interest Rate = 3.4/2% = 1.7 %

T = Time period = 3 Years

Therefore,

S.I. = \frac{500 \times 1.7 \times 3}{100} = \$25.5

Therefore, the total interest she have earned in three years is $51 + $25.5 = $76.5

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Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day
Montano1993 [528]

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : \mu=110\text{ miles per day}

Standard deviation :  \sigma=38\text{ miles per day}

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 132 miles per day.

z=\dfrac{132-110}{38}\approx0.58

For x= 159 miles per day.

z=\dfrac{159-110}{38}\approx1.29

Now by using standard normal distribution table, the  probability that a truck drives between 132 and 159 miles in a day will be :-

P(132

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

6 0
3 years ago
I will give 30 points please don’t mess around. Write an informal proof for why the construction of an equilateral triangle work
Marina86 [1]

Answer:

An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.

Step-by-step explanation:

8 0
3 years ago
HELP ASAP PLEASE!!!!!!
devlian [24]
A = (2+9)/2

a = 11/2

a = 5.5

__________________

b = (4+4)/2

b = 4

__________________

d = √(9-2)²+(4-4)²

d = √7²+0²

r = 3,5


____________________

(x-a)² + (y-b)² = r²

(x-5.5)² + (y-4)² = 3,5²

(x-5.5)² + (y-4)² = 12.25
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Answer:

3916.6

Step-by-step explanation:

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Answer:

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