All categories

4 years ago

Question: 7x^2 + 8x = x^2

Mathematics

2 answers:

7nadin3 [17]4 years ago

5 0

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

Yanka [14]4 years ago

5 0

That answer is correct

You might be interested in

1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

3 years ago

Consider the following system of equations:

monitta

Answer:

Step-by-step explanation:

8 0

2 years ago

A pyramid has a surface area of 24 m^2.

Yuliya22 [10]

Answer:

The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2.

Step-by-step explanation:

You would have to multiply:

24 x 1/8 = 3

24 x 1/10 = 2.4

24 x 1/12 = 2

7 0

2 years ago

A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are drawn at random, one at a time. What is the p

Leokris [45]

Your answer would be C. 27/190.

This is because the probability of choosing green as the first marble would be 9/20, as there are 20 marbles in total and 9 of those are green.

The probability of choosing a red marble as the second marble would be 6/19, as no red marbles would have been lost if green was picked first, but there would be one less marble in total.

The 'and' rule for probability, the one that is used to determine the probability of P(A) and P(B), is to multiply, so we need to do 9/20 × 6/19 = 54/380 = 27/190.

I hope this helps!

7 0

4 years ago

A student has an average of 78 on seven chapter tests. If the student's scores on six of the tests are 76, 74, 76, 80, 83, and 9

zhenek [66]

Answer:

The score is 66

Step-by-step explanation:

Say the unknown score is x

Average = Total score/no of occurrence

78 = (x + 76 + 74 + 76 + 80 + 83 + 91)/7

78 × 7 = x + 76 + 74 + 76 + 80 + 83 + 91

546 = x + 480

546 - 480 = x

66 = x

∴ x = 66

4 0

3 years ago