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dybincka [34]
3 years ago
14

mason deposited 80 in a savings account earning 5% interest, compounded monthly. to the nearest cent, how much interest will he

darn in 3 years?
Mathematics
1 answer:
White raven [17]3 years ago
8 0
Principal, P = $80
monthly interest, i = 5%/12 = 0.05/12
Number of periods, n = 3*12 = 36

Interest earned after three years,
I = P((1+i)^n-1)
=80((1+0.05/12)^36-1)
=12.92 (to the nearest cent.
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In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a
Nady [450]

Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

 z=\frac{X-\mu}{\sigma}

In a normal distribution, the 25th percentile  (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile  has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg

19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg

26.32 miles per gallon.

5 0
3 years ago
What is the value of a° in the figure shown below?
VMariaS [17]
The answer would be 18 because if you put 3a+6a+a=180 (the degrees of a triangle) and solve it a becomes 18
3 0
4 years ago
a football team gains 8 yards in one play, loses 5 yards in the next. What is the teams total yardage for the two plays
Ann [662]
The team gained a total of 3 yards.  That is because they first gained 8 (0 + 8), then lost 3 (8 - 3).
6 0
3 years ago
Please answer ASAP. A baseball is hit upward from a platform that is m high at an initial speed of 29m/s. The approximate height
kotegsom [21]

Answer:

a) about 0.7 seconds to 5.1 seconds.

b) Listed below.

Step-by-step explanation:

h - 1 = -5x^2 + 29x

h = -5x^2 + 29x + 1

a) We will find the amount of time it takes to get to 18 meters.

18 = -5x^2 + 29x + 1

-5x^2 + 29x + 1 = 18

-5x^2 + 29x - 17 = 0

We will then use the quadratic formula to find the answer.

[please ignore the A-hat; that is a bug]

\frac{-29±\sqrt{29^2 - 4 * -5 * -17} }{2 * -5}

= \frac{-29±\sqrt{841 - 340} }{-10}

= \frac{-29±\sqrt{501} }{-10}

= \frac{-29 ± 22.38302929}{-10}

= \frac{-6.616970714}{-10} and \frac{-51.38302929}{-10}

= 0.6616970714 and 5.138302929

So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.

b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.

Hope this helps!

5 0
3 years ago
Mustafa’s horse ate 6,400 pounds of hay last year. How could Mustafa determine the number of tons of hay his horse ate last year
Alex

Answer: 3.2 tons

Step-by-step explanation:

We know that 1 ton = 2000 pound

Then , \text{1 pound}=\dfrac{1}{2000}\text{ ton}

Given : Mustafa’s horse ate 6,400 pounds of hay last year.

Then, the number of tons of hay his horse ate last year is given by :-

6400\times\dfrac{1}{2000}\ \ \text{ tons}\\\\=3.2 \text{ tons}

Therefore, the  number of tons of hay his horse ate last year = 3.2 tons

5 0
4 years ago
Read 2 more answers
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