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kvv77 [185]
2 years ago
14

Amy is biking to school from her father's house and Jeremy is biking to school from his aunt's house. Suppose Amy is moving at a

rate 10 miles per hour and Jeremy is moving at a rate of 8 miles per hour. Can you assume that Amy will get to school first? Explain.
Mathematics
2 answers:
Mnenie [13.5K]2 years ago
9 0

No, having the greater rate of change does not mean a function will necessarily reach an output with the smallest input. It also depends on the initial values of the functions. If Jeremy's aunt lives closer to school, Jeremy's rate of change is smaller, but he could still get to school before Amy.

Dovator [93]2 years ago
4 0

Answer:

No, having the greater rate of change does not mean a function will necessarily reach an output with the smallest input. It also depends on the initial values of the functions. If Jeremy's aunt lives closer to school, Jeremy's rate of change is smaller, but he could still get to school before Amy.

Step-by-step explanation:

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The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder?
natita [175]

Answer:

See explanation

Step-by-step explanation:

The lateral surface area of a cylinder is calculated using:

L.S.A = 2\pi \: rh

We have that the lateral surface area is about, 80 square inches.

Assuming the radius is 10 inches, then we substitute r=10, π=3.14 and solve for h.

80 = 2 \times 3.14 \times 10h

We solve for h to get:

h =  \frac{80}{2 \times 3.14 \times 10 }  =  \frac{4}{3.14}

h = 1.3inches

8 0
2 years ago
Read 2 more answers
Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to
vovikov84 [41]
Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.

475 * 0.02 = 9.50

Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.

The answer would be 4 years.

Hope this helps.
3 0
2 years ago
Read 2 more answers
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
mixer [17]
To solve this, we are going to use the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A is the final amount after t years 
P is the initial investment 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year

For the first 4 years we know that: P=2350, r= \frac{4.2}{100} =0.042, t=4, and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, n=1. Lest replace those values in our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=2350(1+ \frac{0.042}{1} )^{(1)(4)}
A=2350(1+0.042)^{4}
A=2770.38

Now, for the next 6 years the intial investment will be the final amount from our previous step, so P=2770.38. We also know that: r= \frac{4.9}{100} =0.049, t=6, and n=1. Lets replace those values in our formula one more time:
A=P(1+ \frac{r}{n} )^{nt}
A=2770.38(1+ \frac{0.049}{1})^{(1)(6)
A=2770.38(1+0.049)^6
A=3691.41

We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>
4 0
2 years ago
Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays eve
Tatiana [17]

Answer:

Friday, August 17th

Step-by-step explanation:

Mark plays every 4th day

18th of July,21st of July,24th of July, 27th of July, 30th of July, 2nd of August,5th of August, 8th of August, 11th of August, 14th of August, 17th of August

Bryan plays every 6th day

18th of July, 23th of July, 28th of July, 2nd of August, 7th of August, 12th of August, 17th of August

David plays every seventh day

18th of July,24th of July,30th of July, 5th of August, 11th of August, 17th of August

The next day when all three of them will be at the court together is Friday, August 17th

7 0
2 years ago
Read 2 more answers
Bo paid bills with 1/2 of his paycheck snd put 1/5 of the remainder in savings. The rest of his paycheck he divided equally amon
frutty [35]
1/2 + 1/5(1/2) = 1/2 + 1/10 = 5/10 + 1/10 = 6/10....this leaves 4/10 (reduces to 2/5) for his children.

(2/5) / 3 = 2/5 * 1/3 = 2/15 for each child <== A

400 in each childs account.....thats (400 * 3) = 1200 ...
2/5 of what is 1200 =
2/5x = 1200
x = 1200 * 5/2
x = 6000/2
x = 3000 <== B

check...
total pay is 3000
1/2 for bills.....- 1500
1/5(-1500) = -1500/5 = -300 ....for savings
3000 - (1500 + 300) = 3000 - 1800 = 1200...remaining for the children
1200/3 = 400 ...for each child.

so ur answers are :
A. 2/15 in each childs account
B. original paycheck = $ 3000


3 0
2 years ago
Read 2 more answers
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