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jekas [21]
3 years ago
7

A family has two cars during one particular week the first car consumed 25 gallons of gas and the second consumed 40 gallons of

gas the two cars drove a combined of 1700 miles and the sim of their fuel efficiencies was 50 miles per gallon what were the fuel efficiencies of each of the cars that week ?
Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

Answer:

56

Step-by-step explanation:

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You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
Please show work
cluponka [151]

Answer:

34.2 m

Step-by-step explanation:

We know that

Area of parallelogram = Base × Height

690.84 = B × 20.2

690.84/20.2 = B

34.2 = B

Hence,

Base of parallelogram is 34.2 m

5 0
2 years ago
Read 2 more answers
A student who is trying to write a paper for a course has a choice of two topics, a and
Kitty [74]
Say she chooses topic A. She needs at least one book to arrive on time. The probability that no books arrive on time is 0.1 x 0.1 = 0.01 so the probability that at least one book arrives on time is 1 - 0.01 = 0.99.
Say she chooses topic B. She needs at least two books to arrive on time. The probability of no books arriving on time is 0.1 x 0.1 x 0.1 x 0.1 = 0.0001. The probability of exactly one book arriving on time is 4 x 0.1 x 0.1 x 0.1 x 0.9 = 0.0036 (binomial probability distribution formula - the 4 comes from 4C1). So the probability of her not getting enough books is 0.0001 + 0.0036 = 0.0037 and the probability she does get the books she needs on time is 1 - 0.0037 = 0.9963.
So she should choose topic B.
4 0
3 years ago
HELP NOW PLZ FAST IMPORTANT
melamori03 [73]

Answer:

Step-by-step explanation:

To do this there are many steps

Step 1: Turn the whole bathroom into a regular rectangle, so a 7.5x9.5 size bathroom or 71.25 sq ft.

Step 2: Figure out the area of the missing spaces

To do this you need to figure out the side lengths, so for the right tall side, its 7.5 and for the left its 6.5, there is a 4 and a 3, you take that and you can figure out the first spot in pink is .5x4=0.20 then the second one, you find the side length difference and thats the height (1) and then you know the width is 5 so 5x1=5 add those, 5+0.20= 5.20 and subtract that value from 71.25 to get her actual value, 66.05

I hope this helps, when i was writing the steps i decided it would be easier to write on the shape, so i am attaching that, I hope i helped you (:

8 0
3 years ago
How do you convert 260000 millimeters into centimeters<br>​
Tamiku [17]

Answer:

Well 1 centimeter is 10 millimeters.

260000 mm divided by 10 is 26000

so 26000 centimeters

4 0
3 years ago
Read 2 more answers
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