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Gwar [14]
2 years ago
10

How much money will you have in 6 months if you invest $1000 at 3% compounded monthly?

Mathematics
1 answer:
Kobotan [32]2 years ago
8 0

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.

<h3>Compound Interest</h3>

Given Data

  • Principal = $1000
  • Rate = 3%
  • Time = 6 months = 0.5 years

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,000.00(1 + 0.03/12)^(12)(0.5)

A = 1,000.00(1 + 0.0025)^(6)

A = $1,015.09

Learn more about compound interest here:

brainly.com/question/24924853

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What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.
sammy [17]

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

4 0
3 years ago
What is the approximate age of a woman whose normal systolic pressure measures 125 mm Hg?
sashaice [31]

The approximate age of a woman whose normal systolic pressure measures 125 mm Hg is 31

The function is given as:

P(A) = 0.006A^2 - 0.02A + 120

When the normal systolic pressure is 125, it means that:

P(A) = 125

So, we have:

125 = 0.006A^2 - 0.02A + 120

Subtract 125 from both sides of the equation

0= 0.006A^2 - 0.02A + 120 -125

0= 0.006A^2 - 0.02A - 5

Rewrite the equation as:

0.006A^2 - 0.02A - 5 = 0

Using a graphing calculator, we have:

A = \{30.58, -27.25\}

But age cannot be negative.

So, we have:

A = 30.58

Approximate

A =31

Hence, the age of the woman is 31

Read more about quadratic functions at:

brainly.com/question/11441586

8 0
2 years ago
Read 2 more answers
Can someone help me do this with working pls
ycow [4]
∵ the two triangles are congruent

AB / AD = BC / DE
8/4 = 6/ DE
DE = 6 x 3 ÷ 8 = 3 cm
4 0
3 years ago
Does (2, -1) make this a true statement? Why or why not?<br> 3x + 2y = 4
kvv77 [185]

Answer: Yes

Step-by-step explanation:

So a coordinate pair is always set up (x,y) so you plug the x term in the coordinate pair into the x in the equation and the y term in for the y. 3×2 + 2×-1. Multiply them together and you end up with 4.

3 0
3 years ago
Please help me it’s due tomorrow
Ierofanga [76]

Answer:

8 units

Step-by-step explanation:

so there is something called Pythagorean thereon and it states that a^2+b^2=c^2

and 6 is either a or b

and c is ten so

6^2+b^2=10^2

36+b^2=100

b^2=64

here you need to find the square root in order to delete the power so

\sqrt{b} =\sqrt{64\\\\

b=8

or

x=8

5 0
3 years ago
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