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Luden [163]
3 years ago
14

Image attached Please help asap

Mathematics
1 answer:
bearhunter [10]3 years ago
6 0
First question: 2x = 50
Explanation:
“2 times as many” in this situation means that the pages justin read (50) is twice as Colin’s. Meaning that to find the number of pages Colin’s read, we will have to divide 50 by 2.
2x = 50 is an equivalent representation of that.

2nd question:
(Choose these correct statements):
• 9h represents how much money Sofia earns babysitting for h hours.
• Sofia babysat for 3 hours.
• If Sofia babysits for 5 hours, she will earn $45

Have a nice day (brainliest please)
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Bertie Bee's Carpet Cleaners charge $1.22 per square foot to clean carpets. Millie Mott's Carpet Cleaners charge $9.50 per squar
Crank

Answer:

Bertie Bee's Carpet Cleaners

6 0
2 years ago
6r + 7 = 13 + 7r what is r
kumpel [21]

Answer:

6r+7=13+7r

6r+7=7r+13

6r+7−7r=7r+13−7r

−r+7=13

−r+7−7=13−7

−r=6

\frac{-r}{-1} = \frac{6}{-1}

r=−6

Step-by-step explanation:

:) This is the answer

6 0
3 years ago
Read 2 more answers
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the coun
Novay_Z [31]

Answer:

12

Step-by-step explanation:

A 2 - sided counter ; (red, yellow)

A spinner (1,2,3,4,5,6)

Number of trials = 80

P(red and number > 3) :

P(red) = 1/2 ;

P(number >3) : numbers greater Than 3 = (4, 5, 6)

Hence, P(number <3) = 3 /6 = 1/2

Theoretical probability = 1/2 *1/2 = 1/4

Expected number of outcomes :

1/4 * number of trials

1/4 * 80 = 20

Experimental outcome :

Relative frequency = number of outcomes / number of trials

Relative frequency = 2/5

Hence,

2/5 = number of outcomes / 80

Cross multiply :

160 = number of outcomes * 5

Number of outcomes = 160 /5 = 32

Actual outcomes = 32

Difference between actual and expected :

32 - 20 = 12

7 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
Solve for a. c = 8 π a b a. c/8 π=a b. c/8 π b=a c. c/8=a d. 8 π b c = a
frosja888 [35]
c = 8\pi ab\\a = \frac{c}{8\pi b}
5 0
3 years ago
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