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
VladimirAG [237]
3 years ago
6

Lizbeth deposited $6200 into a savings account for which interest is compounded monthly at a rate of 2.37%. How much interest wi

ll she earn after 8 years?
Mathematics
2 answers:
aleksley [76]3 years ago
8 0
A=6200(1+0.0237/12)^12*8
A=7,492.95
Amount earned=7492.95-6200=1,292.95
astra-53 [7]3 years ago
7 0

Answer: $1292.95

Step-by-step explanation:

Given: The principal investment deposit = P = $6,200

The annual interest rate= 2.37%

The annual interest rate (decimal)  r=0.0237

The number of times that interest is compounded per year

= 12

The number of years the money is invested for= 8 years

The formula for annual compound amount is:

A=P(1+\frac{r}{n})^{nt}\\\\\Rightarrow\ A=6200(1+\frac{0.0237}{12})^{12\times8}\\\\\Rightarrow\ A=6200(1.001975)^{96}\\\\\Rightarrow\ A=6200( 1.2085399)\\\\\Rightarrow\ A=7492.95

The amount she earned = A-P=\$7492.95-\$6200=\$1292.95

You might be interested in
if from twice the greater of two numbers 16 is subtracted ,the result is half the other number.If from half the greater number 1
Svetradugi [14.3K]

Answer:

16-x+1= 17-x

Step-by-step explanation:

6 0
3 years ago
15 Solve for y<br>| 3x - 8y = 24​
rewona [7]

Answer:

\quad y=-\frac{24-3x}{8}

Step-by-step explanation:

1. Subtract 3x from both sides

3x-8y-3x=24-3x

2. Simplify

-8y=24-3x

3. Divide both sides by -8

\frac{-8y}{-8}=\frac{24}{-8}-\frac{3x}{-8}

4. Simply again to get answer.

6 0
3 years ago
write two additional sentences where the sum is negative. in each sentence one added should be positive and the other
Goshia [24]
10 + (-5) = 10 - 5 = 5

-11 + 20 = 20 + (-11) = 20 - 11 = 9

102 + (-1) = 102 - 1 = 101

<span>-20 + 60 = 60 + (-20) = 60 - 20 = 40 </span>
6 0
3 years ago
How can i prove this property to be true for all values of n, using mathematical induction.
chubhunter [2.5K]

Proof -

So, in the first part we'll verify by taking n = 1.

\implies \: 1  =  {1}^{2}  =  \frac{1(1 + 1)(2 + 1)}{6}

\implies{ \frac{1(2)(3)}{6} }

\implies{ 1}

Therefore, it is true for the first part.

In the second part we will assume that,

\: {  {1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  =  \frac{k(k + 1)(2k + 1)}{6}  }

and we will prove that,

\sf{ \: { {1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} =  \frac{(k + 1)(k + 1 + 1) \{2(k + 1) + 1\}}{6}}}

\: {{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2}  =  \frac{(k + 1)(k + 2) (2k + 3)}{6}}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{k (k + 1) (2k + 1) }{6} +  \frac{(k + 1) ^{2} }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{k(k+1)(2k+1)+6(k+1)^ 2 }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)\{k(2k+1)+6(k+1)\} }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(2k^2 +k+6k+6) }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(2k^2+7k+6) }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(k+2)(2k+3) }{6}

<u>Henceforth, by </u><u>using </u><u>the </u><u>principle </u><u>of </u><u> mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n</u>.

_______________________________

<em>Please scroll left - right to view the full solution.</em>

8 0
2 years ago
Tell me something funny and I’ll mark you brainliest!
prohojiy [21]

Answer:

what do you call a white person having a seizure...............................milk-

shake  

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A manager receives 10 applications for a specific position. she wants to narrow it down to 3. in how many ways can she rank 3 ap
    15·1 answer
  • When can you pull a number out from under the radical?
    10·1 answer
  • What percent of 65 is 13?
    15·2 answers
  • Convert the following percent into common fractions in simplest form:
    13·1 answer
  • 57+4x4-16 what is the value expression
    8·1 answer
  • Tom had 7/8 cup of olive oil. He used 1/2 cup to make salad dressing and 1/4 cup to make tomato sauce. How much olive oil does T
    15·1 answer
  • 80p - 8 + 4p collecting like terms
    8·2 answers
  • I’ll give brainlest if you help me please anyone!!!
    12·2 answers
  • Square root 30 times square root 10
    10·1 answer
  • One number is three less than eight times another number. If the sum of the numbers is 69, find the numbers.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!