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JulijaS [17]
3 years ago
6

Suppose Carla has $7000 to invest. Which investment yields the greater return over 4 years: 7% compounded quarterly or 6.85% com

pounded monthly?
a. They are the same.
b. The rate of 7% compounded quarterly is better.
c. The rate of 6.85% compounded monthly is better.
Mathematics
1 answer:
tatiyna3 years ago
8 0

Answer:

The correct answer is B. The rate of 7% compounded quarterly is better.

Step-by-step explanation:

In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:

X = 7000 x (1 + 0.7 / 3) 4x3

X = 9,232.16

Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.

In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:

X = 7000 x (1 + 0.685 / 12) 4x12

X = 9,199.33

Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.

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Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the
nadezda [96]
Y = 6 + x

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The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.

<span>And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.</span>
5 0
3 years ago
A bag contains 22 red marbles, 8 white marbles, and 3 gray marble. You randomly pick out a marble, record its color, and put it
frez [133]

Total marbles : 33

W + G marbles : 11

Probability of picking either a W or G : 11/33

Number of W or G marbles = 11/33 × 45 = 15

4 0
3 years ago
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
valentina_108 [34]

It seems that the four graphs are the same and they do not have a negative change rate in the interval 0 to 2 in the x-axis.

A negative change rate means that when x increases the value of the function (y) decreases; this is, the function is decreasing in the interval being estudied, which is the same that going downward.

So, you must look for in your graphs where the equation is going downward.

For example, in the graph attached, that happens in any interval from negative infitity to  1.5.

The vertex will help you to identify it.

Given that the graph goes downward from negative infinity to the vertex, any interval that includes that range will have negative change.

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5 0
3 years ago
Read 2 more answers
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis
andreyandreev [35.5K]

Answer:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable x to represent the money earned during fundraising activities and M for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

M = 60\%\ of\ x\\OR\\M = 0.6x

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

M = 0.6 \times 72\\\Rightarrow \$43.2

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67

So, the answers are:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

5 0
3 years ago
P partitions GR in ratio 2:4. GR is 36cm. How long is GP and PR?
Allushta [10]

Answer:

12 cm and 24 cm

Step-by-step explanation:

The line is divided in the ratio 2 : 4 = 2x : 4x ( x is a multiplier )

The sum is therefore

2x + 4x = 36

6x = 36 ( divide both sides by 6 )

x = 6

Thus

GP =  2x = 2 × 6 = 12 cm

PR = 4x = 4 × 6 = 24 cm

6 0
3 years ago
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