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Natali [406]
3 years ago
8

How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: A=P(1+\frac{r}{n})^{n*t}

Putting values and finding P

A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231}  \\P=5687

So, The investment required is: $5687

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zysi [14]

Answer:

12, 23, 48, 325

Step-by-step explanation:

So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.

Inequality 1:

(-3x) + 5 < (-10)

Inequality 2:

7x + x - 4 > 28

simplifies to: 8x - 4 > 28

When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.

Answers that apply from given list would be:

12, 23, 48, 325

6 0
3 years ago
What are any 9 perfect squares to type in the boxes?
Paul [167]

Answer:

1

4

9

16

25

36

49

64

81

100

Step-by-step explanation:

1 = 1²

4 = 2 x 2 = 2²

9 = 3 x 3 = 3²

16 = 4 x 4 = 4²

25 = 5 x 5 = 5²

36 = 6 x 6 = 6²

49 = 7 x 7 = 7²

64 = 8 x 8 = 8²

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100 = 10 x 10 = 10²

4 0
2 years ago
Find the size of the angle <br> 3<br> x<br> .
AlexFokin [52]

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

8 0
2 years ago
Turn the sentence into an expression please
Hatshy [7]

Answer:

x + 5x

Step-by-step explanation:

X is the variable in this case, or 'a number.' This number x is added to the product of 5 and the number, or 5x. Therefore the expression is x+5x. It can also be simplified to 6x.

7 0
2 years ago
Which statement is true about this argument? premises: if an angle measure is greater than 90°, then the angle is an obtuse angl
vazorg [7]
Answer: option d. the argument is valid by the law of detachment.

The law of detachment consists in make a conlcusion in this way:

Premise 1) a => b
Premise 2) a is true

Conclusion: Then, b is true

Note: the order of the premises 1 and 2 does not modifiy the argument.

IN this case:

Premise 1) angle > 90 => obtuse

Premise 2) angle = 102 [i.e. it is true that angle > 90]]

Conclusion: it is true that angle is obtuse

3 0
3 years ago
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