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valkas [14]
3 years ago
8

Answer ASAP please! ………

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

47.746, answer choice C

Step-by-step explanation:

47.746

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A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many ho
Svetlanka [38]

Answer:

13.75 hours

Step-by-step explanation:

First, find how many km the driver can travel:

11(35)

= 385

Then, divide this by 28 to find how many hours the driver can travel:

385/28

= 13.75

So, the driver can travel 13.75 hours

8 0
2 years ago
Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte
Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time(T_{1})=4 years

Time(T_{2})=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

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

S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years  when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

A=P*(1+\frac{R}{100})^t

A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60

A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years  when interest is compounded annually=$ 9034(approx)

4 0
3 years ago
Read 2 more answers
Line AB contains points A(-6,1) and B(1,4).
Free_Kalibri [48]

To solve this problem you must apply the proccedure shown below:

1- You have that the equation of the line is:

y=mx+b

Where m is the slope andb is the y-intercept.

2- Based on the information given in the problem, the lines AB andCD are parallel, which means that both have the same slope. Therefore, you can calculate the slope of AB:

m=\frac{y2-y1}{x2-x1}

m=\frac{4-1}{1-(-6)}=\frac{3}{7}

3- Use the coordinates of the point D(7,2) to calculate the y-intercept:

2=\frac{3}{7}(7)+b

4. Solve for b:

b=2-3=-1

5. The equation of the line CD is:

y=\frac{3}{7}x-1

The answer is: y=\frac{3}{7}x-1

6 0
3 years ago
Is 12 posters for 36 students equivalent to 21 posters to 63 student
Dmitry [639]

yes.

this is division. 36 divided by 12 is 3. 63 divided by 21 is 3.

3 0
3 years ago
Read 2 more answers
What is the range of the function f(x) = 3x2 + 6x – 8?
oee [108]

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range ={y|y ≥ -11}

3 0
3 years ago
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