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MAVERICK [17]
4 years ago
13

The bulbs on the bay holiday drive through attraction charges 12 dollars per car plus 1 dollar for every individual,(p), in the

car. which choice represents the total cost(c) per car
Mathematics
1 answer:
yaroslaw [1]4 years ago
7 0
This problem mentions 'CHOICE,' which means you need to share the several possible answers that came with this problem.

There is an upfront charge of $12 per car.  Next, each person in the car is charged $1.  Supposing that x people are in the car, then the total cost, C(x), is

C(x) = $12 + ($1)x.  This is a linear function whose domain could be, for example, [0,6], assuming that 6 people could fit into the car.
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What are the solutions to m^2 – 9 = 0? a. m = –9 and m = 0 b. m = –3 and m = 3 c. m = –3 d. m = 9
marysya [2.9K]
2 ways
zero product property
easy way

zero product
factor perfect square
m^2-3^2=0
(m-3)(m+3)=0
set each to zero
m-3=0
x=3

m+3=0
m=-3

m=-3 or 3

easy way
add 9 to both sides
m^2=9
sqrt both sides remember to take postive and negative roots
m=+/-3
m=-3 or 3


B is answer

5 0
3 years ago
Tasha invests $5,000 annually at 6% and an additional $5,000 annually at 8%. Thomas invests $10,000 annually at 7%. Which statem
Setler79 [48]

Answer:

B is correct.

Step-by-step explanation:

Compound Interest Formula:

V(t)=P(1+\frac{r}{n})^{nt}

Tasha invests in two ways

Case 1:

  • Principal P=$5,000
  • Rate of Interest r=0.06
  • Time t=t
  • n=1

V(t)=5000(1+0.06)^t

V(t)=5000(1.06)^t

Case 2:

  • Principal P=$5,000
  • Rate of Interest r=0.08
  • Time t=1
  • n=1

V(t)=5000(1+0.08)^t

V(t)=5000(1.08)^t

Total amount yield by Tasha = 5000[(1.06)^t+(1.08)^t]

Thomas Investment

  • Principal P=$10,000
  • Rate r= 0.07
  • t=t
  • n=1

Total amount yield by Thomas = 10000(1.07)^t

Now we make table for Tasha and Thomas different value of t

    t                  Tasha                  Thomas

   1                  $10,700                 $10,700  

   2                 $11,450                  $11,449

   3                 $12,254                 $12,250

   4                 $13,115                  $13,108

In table we can see Tasha investment will yield more from Thomas.

Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

8 0
3 years ago
Read 2 more answers
A mean average of 70 or better on five exams is needed for a final grade of C. Jeffery Matthews first four exam grades are 75, 6
erastova [34]

Answer:38

Step-by-step explanation:

3 0
3 years ago
Change the unit of capacity 12 c = qt
sattari [20]

Answer:

Step-by-step explanation:

Comment

There are 4 cups in a quart.

There are 12 cups in x quarts.

Solution

4/12 = 1 / x                               Cross multiply

4x = 12*1                                  Combine

4x = 12                                     Divide both sides by 4

4x/4 = 12/4

x = 3 quarts

Answer

3 quarts.

3 0
2 years ago
Read 2 more answers
Given the definitions of f(x) and g(x) below, find the value of (fog)(-8).
Masja [62]

Answer:

(f \circ g)(-8) = 16

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

(f \circ g)(x) = f(g(x))

Therefore;

(f \circ g)(-8) = f(g(-8))

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

(f \circ g)(-8) = f(g(-8)) = 16

3 0
3 years ago
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