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2 years ago

If your financial goal is to save at least $40,000 in 10 years, what would be the least

Mathematics

1 answer:

adoni [48]2 years ago

4 0

The least amount of money you would need to invest per month is; $335

The anticipated rate of return on your investments is; 7%

Amount to have been saved at the end of 10 years ≥ $40,000

Number of years of savings = 10 years.

We want to find out the least amount to be invested per month.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

Thus, amount to be saved monthly = 40000/12 = $333.33

Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.

Thus;

Monthly savings ≈ $335

Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.

From online calculator, the worth of the investment after 10 years based on 7% rate of return yearly would be $57626.

Read more at; brainly.com/question/9187598

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Can someone assist me with this?

Mnenie [13.5K]

Answer:

29: 7

Step-by-step explanation:

$\frac{8}{3x - y} = \frac{5}{x + 3y}$

Cross multiply:

$8(x + 3y) = 5(3x - y)$

Expand bracket:

$8x + 24y = 15x - 5y$

Bring x terms to 1 side, y terms to the other:

$15x - 8x = 24y + 5y$

Simplify:

$7x = 29y$

Divide by 7 on both sides:

$x = \frac{29}{7} y$

Divide both sides by y:

$\frac{x}{y} = \frac{29}{7}$

∴ The ratio of x to y is 29:7.

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3 years ago

We can find the length of DE using the Pythagorean Theorem:

prohojiy [21]

What's the difference between A) and C)??
There should be an E) because the correct answer would be in either of these forms:
${DE}^{2} = {(4 - 1)}^{2} + {(1 - 3)}^{2} \: \: or \\ DE = \sqrt{( {3}^{2} + {2}^{2} )} \: \: or \\ {DE}^{2} = {(4 - 1)}^{2} + {(3 - 1)}^{2}$

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2 years ago

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Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6

Gennadij [26K]

Answer:

Below.

Step-by-step explanation:

The area = area of a rectangle on the same base and between the same parallel lines

= (15 + 6) * 8

= 21 * 8

= 168 yd^2.

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2 years ago

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Cannon sells the IVY REC for $130. Early crowdfunders could buy it for $104. What is this discount written as a percent?

MrMuchimi

Answer:

20%

Step-by-step explanation:

First, find the difference between $130 and $104. This equals $26, and to find this discount written as a percent, divide $26 by the original cost of the camera. 26/130=0.2, which represents a 20% discount.

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2 years ago

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What are the first and last terms of this geometric series

11Alexandr11 [23.1K]

ANSWER

E. 10 and 640

EXPLANATION

The given series is

$\sum_{i=1}^45 \times 2^{2i-1}$

To find the first term of the series we substitute i=1 to get,

$a_1 = 5 \times {2}^{2 \times 1 - 1}$

$a_1 = 5 \times {2}^{ 1} = 10$

For the last term of the series, we substitute i=4 to obtain,

$a_4 = 5 \times {2}^{2 \times 4 - 1}$

$a_4 = 5 \times {2}^{7}$

This implies that,

$a_4 = 5 \times 128 = 640$

Therefore the correct answer is E

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3 years ago