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Gwar [14]
1 year ago
10

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

Mathematics
1 answer:
Kobotan [32]1 year 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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dangina [55]
The answers is

3). 11s
5 0
2 years ago
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Jared and Pedro walk 1 mile in about 15 minutes. They can keep up pace for several hours. About how far they walk in 65 minutes
VladimirAG [237]
<h2><u>Answer:</u></h2>

Jared and Pedro walked a total of <u>4.3 miles</u>

<h2><u>Step-by-step explanation:</u></h2>
  • The equation for distance is <u>speed = distance ÷ time.</u>
  • Rearrange the equation to make distance the subject:

        <em>(multiply both sides by time)</em>

<em>         </em><u>Distance = Speed × Time</u>

  • Convert your numbers into suitable units:

        1 mile ÷ 15 = <u>0.06m/minute</u>

  • Finally, substitute the numbers into the equation and solve:

        Distance = 0.06 × 65 = <u>4.3miles</u> (rounded to the nearest decimal place)

<h2 />

4 0
2 years ago
QUESTION 1 The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.Assume that the driving
GarryVolchara [31]

Answer:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

X \sim Unif (a=284.7, b=310.6)

And for this case the probability density function is given by:

f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6

And the cumulative distribution function is given by:

F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6

And we want to find this probability:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

6 0
3 years ago
PLS ANSWER URGENT
san4es73 [151]
A) The given equation has no solution. The absolute value cannot be negative, but must be -9 in order for the equation to be satisfied.


b) |x -7| = 2 . . . . . . . the equation
Solution 1:
  -2 = x -7
  5 = x . . . . . . add 7
Solution 2
  x -7 = 2
  x = 9 . . . . . . add 7

The two numbers are {5, 9}
8 0
3 years ago
Explain proportionality to me 7th grade math ​
kari74 [83]

If two quantities <em>a</em> and <em>b</em> are directly proportional to one another, then both <em>a</em> and <em>b</em> change in the <u>same direction</u>.

For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.

Both <em>a</em> and <em>b</em> don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor <em>k</em>, so that

<em>a</em> = <em>kb</em>

Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is <em>a</em>, then the amount of coffee I pour in is <em>b</em> = 1/2 <em>a</em>. So the relationship of these two quantities is governed by the equation,

<em>a</em> = 2<em>b</em>

and in this case, <em>k</em> = 2.

If instead <em>a</em> and <em>b</em> are inversely proportional, this means as one quantity changes, the other changes in the <u>opposite direction</u>.

Suppose I have two cups that I use for coffee that can both hold the same amount <em>k</em> if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.

The cups are cylindrical, so that their volumes are equal to the products of the area of their base <em>a</em> and their height <em>b</em>. If one cup is twice as tall as the other, then for the smaller cup we could have

<em>ab</em> = <em>k</em>

and for the taller one,

<em>a</em> (2<em>b</em>) = <em>k</em>

But in order to get the same volume, the quantity <em>a</em> for the shorter cup must be cut in half to preserve equality:

(1/2 <em>a</em>) (2<em>b</em>) = <em>ab</em> = <em>k</em>

So one quantity is doubled (increases), while the other gets halved (decreases).

5 0
3 years ago
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