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andre [41]
3 years ago
5

If two numbers represent by (2m + 1) and (2m + 5) have a sum of 74, find

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

(2m + 1) + (2m + 5) = 74

combine like terms

4m+6 = 74

subtract 6 from each side

4m = 68

divide by 4

m =17

2m+1 = 2(17)+ 1 = 34+1 = 35

2m+5 = 2(17) +5 = 34+5 = 39

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Use the simple interest formula to find the ending balance 5000 at 5% for 3.5 years
Evgesh-ka [11]

Answer:

Given:  Principal(P) = $ 5000 , T = 3.5 years and R = 5%.

Using the formula of Simple Interest (I) given by;

I = \frac{P\times R \times T}{100} .......[1] , where P is the Principal amount of money to be invested, R be the rate of interest and T be the time.

Substitute the given values of P ,  R and T in [1] we have;

I = \frac{P \times R \times T}{100} = \frac{5000\times 5 \times 3.5}{100}

I = 50 \times 5 \times 3.5 = 250 \times 3.5

Simplify:

I = \$ 175

An Ending balance is calculated by subtracting cash outflows, interest paid for financing and principal paid on financing.

Ending Balance = $ 5000 + $ 175 = $ 5,175.

Therefore, the ending balance is $ 5,175



3 0
3 years ago
Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B
wariber [46]

Answer:

a. 0.76

b. 0.23

c. 0.5

d. p(B/A) is the probability that given that a student has a visa card, they also have a master card

p(A/B) is the probability that given a student has a master card, they also have a visa card

e. 0.35

f. 0.31

Step-by-step explanation:

a. p(AUBUC)= P(A)+P(B)+P(C)-P(AnB)-P(AnC)-P(BnC)+P(AnBnC)

                    =0.6+0.4+0.2-0.3-0.11-0.1+0.07= 0.76

b. P(AnBnC')= P(AnB)-P(AnBnC)

                    =0.3-0.07= 0.23

c. P(B/A)= P(AnB)/P(A)

             =0.3/O.6= 0.5

e. P((AnB)/C))= P((AnB)nC)/P(C)

                     =P(AnBnC)/P(C)

                     =0.07/0.2= 0.35

f. P((AUB)/C)= P((AUB)nC)/P(C)

                    =(P(AnC) U P(BnC))/P(C)

                     =(0.11+0.1)/0.2

                     =0.21/0.2 = 0.31

7 0
3 years ago
Trigonometry Identities help please
sesenic [268]

theta is in the fourth quadrant where the cosine is positive.


the third side in the triangle = sqrt (4 - 2) = sqrt2


So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)


tan theta = - sqrt2 / sqrt2 = -1

6 0
3 years ago
1. Review the lesson above and use the guided notes to help you understand.
Nezavi [6.7K]
I have completed the 1st one and have attached it.
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3 0
3 years ago
A truck driver drives at a constant rate of 60 miles per hour while on the highway. Which equation represents the distance, d, i
lora16 [44]

Answer:

B

Step-by-step explanation:

this is a rate of time, 60 must be multiplied by the hours to get the days

8 0
3 years ago
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