1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikentia [17]
3 years ago
15

Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}

\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill

\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}

\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6

You might be interested in
Please answer correctly! I will mark you as Brainliest! Please No links or non correct answers or I will report and call Brainly
erik [133]

Answer:

The answer is (0,-5)

Step-by-step explanation:

The reflection of the y-axis means inverted vertically (x will be inverted). This is a linear equation, so the y-intercept will stay the same, while every solution to the equation is inverted on the x-axis.

I swear to you I'm correct, trust.

3 0
2 years ago
Which point is 7 units from (–2, 4)?
Serjik [45]
The distance formula:
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(x_1,y_1)=(-2,4) \\
d=7 \\ \\
7=\sqrt{(x-(-2))^2+(y-4)^2} \\
7=\sqrt{(x+2)^2+(y-4)^2} \ \ \ |^2 \\
49=(x+2)^2+(y-4)^2
Check which point satisfies the equation:
(x,y)=(-5,4) \\
49 \stackrel{?}{=} (-5+2)^2+(4-4)^2 \\
49 \stackrel{?}{=} (-3)^2+0^2 \\
49 \stackrel{?}{=} 9 \\
49 \not= 9 \\
doesn't \ satisfy \ the \ equation

(x,y)=(-2,3) \\
49 \stackrel{?}{=} (-2+2)^2+(3-4)^2 \\
49 \stackrel{?}{=} 0^2+(-1)^2 \\
49 \stackrel{?}{=} 1 \\
49 \not= 1 \\
doesn't \ satisfy \ the \ equation

(x,y)=(5,4) \\
49 \stackrel{?}{=} (5+2)^2+(4-4)^2 \\
49 \stackrel{?}{=} 7^2+0^2 \\
49 \stackrel{?}{=} 49 \\
49=49 \\
satisfies \ the \ equation

(x,y)=(9,4) \\
49 \stackrel{?}{=} (9+2)^2+(4-4)^2 \\
49 \stackrel{?}{=} 11^2+0^2 \\
49 \stackrel{?}{=} 121 \\
49 \not= 121 \\
doesn't \ satisfy \ the \ equation

The answer is C.
3 0
3 years ago
if the two linear functions are represented two different forms the _____ is used to compare the steepness of the two functions&
ELEN [110]

Answer:

Slope

Step-by-step explanation:

Given

The above statement

Required

What compares the steep of linear functions

Literally, steepness means slope.

So, when the slope of the two linear functions are calculated, we can make comparison between the calculated slopes to determine which of the functions is steeper or less steep.

Also:

Higher slope means steeper line

e.g.

4 is steeper than 1

7 0
2 years ago
Can someone tell me the answer to both of these
omeli [17]

Answer:

First question --> C) 8.5h

Second question --> D) 2

Step-by-step explanation:

First question

Terry earns $10 per hour

Jill earns 20% less which is $2 less

Jill earns $8 per hour

Jerry earns $0.50 more per hour than Jill

Jerry earns $8.50 per hour

Second question

x = 2

y = 4

(2x + 3y) / 4 - 2 = ?

Use PEMDAS

so Parentheses first, then divide, then subtract

So.... (2x + 3y) = (2*2 + 3*4) = (4 + 12) = 16

Then divide

16/4 = 4

Then subtract

4 - 2 = 2

3 0
3 years ago
Read 2 more answers
Given angle ABC shown on the coordinate plane below.
Crank

The attached image shows the image of A"B"C" after the transformation

<h3>What is the transformation of the triangle about?</h3>

The transformation rule states:

A"B"C" = Ro90° (T(-4,3)(ABC))

This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.

Using the image shown, the coordinates of ABC are;

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The 90⁰ rule clockwise rotation  will be:

(x,y) -- (y,-x)

So, when translated, it will be:

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

Then the translation of the triangle using T(-4,3):

(x, y) -  (x - 4, y + 3)

So, there is:

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

Learn more about transformation from:

brainly.com/question/28108536

#SPJ1

6 0
1 year ago
Other questions:
  • According to a magazine, a cleaning solution of 5% bleach will remove mildew from a shower or tub.
    9·1 answer
  • Can I please get some help??
    6·1 answer
  • Please look at pic one of the text on the right is correct which one
    7·2 answers
  • Use the grouping method to factor the polynomial below completely.<br> 3x^3 + 9x^2 + 4x + 12
    15·1 answer
  • Please helpppppppppp
    10·2 answers
  • Is 1.68 greater than 1.680
    8·1 answer
  • Does 10.5, 36, 50 form a right triangle
    11·2 answers
  • Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (
    6·1 answer
  • PLS ANSWER THE BELOW QUESTION AND I'LL MARK U AS BRAINLIEST
    11·2 answers
  • A shopkeeper had 3sacks of sugar each weighing a mass of 90kg.he repacked the sugar in 0.00025tonnes packets.how many packets di
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!