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elena-s [515]
3 years ago
14

If DM=45, what is the value of r?

Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

15

Step-by-step explanation:

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Dans school is planning a field trip to a museum. Bus company A charges a $40 rental fee plus $4 for each student. Bus company B
givi [52]

Answer:

30 students would have to go for the cost to be the same.

Step-by-step explanation:

Bus A: $40 + ($4 * 30) = $160

Bus B: $100 + ($2 * 30) = $160

7 0
3 years ago
Leila runs 8 miles in 84 minutes. At the same rate, how many minutes would she take to run 6 miles?
konstantin123 [22]

2 miles in 21 minutes = 8 miles in 84 minutes

6 miles in 63 minutes

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2 years ago
If we transform y=x^2 by 5 units to the left and 8 units ups, what is the vertex of the resulting parabola?
sertanlavr [38]

Answer: y = (x + 5)² + 8

<u>Step-by-step explanation:</u>

y = x²

left 5 units:       y = (x + 5)²

up 8 units:        y = (x + 5)² + 8

7 0
3 years ago
Read 2 more answers
Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou
storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?  

We have the following compound interest formula

P' = P*(1+\dfrac{r}{n})^{nt}

P' = 35000*(1+\frac{0,04}{4})^{4*5}

P' = 35000*(1+0,01)^{20}

P' = 35000*(1,01)^{20}

P' = 35000*(1.22019003995...)

P' \approx 42,706.66

So the new principal P' after 5 years is approximately $42,706.66.  

Subtracting the original principal from this amount gives the amount of interest received:

P' - P = I

42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark

________________________

I Hope this helps, greetings ... Dexteright02! =)

4 0
3 years ago
Given the function f(x) = 3x + 1, what is the value of f(-2/3)? <br><br>show work <br>​
Marta_Voda [28]

Answer:

f(-2/3) = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 1

f(-2/3) is x = -2/3

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(-2/3) = 3(-2/3) + 1
  2. Multiply:                        f(-2/3) = -2 + 1
  3. Add:                              f(-2/3) = -1
7 0
3 years ago
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