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rusak2 [61]
3 years ago
8

A cube shaped box has a volume of 27 cubic inches. What is the length of each side? Show your work

Mathematics
1 answer:
Mars2501 [29]3 years ago
5 0

Answer:

9 x 3 = 27

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Step-by-step explanation:

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Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
A line has a slope of -5 and passes through (1,-1).which is the equation of the line in point - slope form?
tangare [24]
The equation of a line which has the slope m and passes through the point A(x1,y1) has the formula:
y-y1=m(x-x1)
in your case m= -5 ; A(x1;y1)=(1;-1)
y-(-1)= -5(x-1)
y+1= -5(x-1)
answer is c 
8 0
3 years ago
Read 2 more answers
Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.
irina [24]

Answer:

Quotient ( x² -4x +10)

Reminder -2

Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

Now, we have to divide g(x) by (x+1)

Let us arrange the terms of g(x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ +x² -4x² -4x +10x +10 -2

= x² (x +1) -4x (x +1) +10 (x +1) -2

= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

3 0
2 years ago
A local fast-food restaurant can serve
Marizza181 [45]

Answer:

4 hours, 150 x 4 = 600 pls give brainliest

5 0
3 years ago
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.According to the graph, what is the solution to
gtnhenbr [62]

Answer:

(-4, -3)

Step-by-step explanation:

The graph of both lines will be shown below.

To find the solution, we need to find the point on the graph that both lines intersect on.

As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.

Best of Luck!

6 0
3 years ago
Read 2 more answers
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