Jackson invested $81,000 in an account paying an interest rate of 6\tfrac{1}{2}6
2
1
% compounded monthly. Angel invested $81,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. After 16 years, how much more money would Angel have in his account than Jackson, to the nearest dollar?
Answer:22215
Step-by-step explanation: got it from delta math
After 16 years Angel would have amount $22942 more money in his account than Jackson.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
Investment of Jackson, p = $81000
Rate of interest, r = 6 1/2%
⇒ [tex]6.5\% = 0.065[/tex]
Interest is compounded monthly, so n = 12
Number of years, T = 16
Investment of Angel, p = $81000
Rate of interest, r = 7 1/8%
⇒ [tex]7.125\% = 0.07125[/tex]
Interest is compounded quarterly, so n = 4
Number of years, T = 16
The formula of amount in compound interest is
[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]
Jackson's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]
⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]
⇒ [tex]A=81000(1.0054)^{192}[/tex]
⇒ [tex]A=81000(2.8123)[/tex]
⇒ [tex]A=227798.13[/tex]
Angel's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]
⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]
⇒ [tex]A=81000(1.0178)^{64}[/tex]
⇒ [tex]A=81000(3.0955)[/tex]
⇒ [tex]A=250739.62[/tex]
After 16 years, how much more money would Angel have in his account than Jackson is
⇒ [tex]250739.62-227798.13[/tex]
⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]
Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.
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Which of these are statistical questions? Select all that apply.
A. Do you walk or get a ride to school?
B. How many text messages do you send during one week
C. How many months away is your birthday
D. Do you live within three blocks of the school?
E. Do you like sports?
Answer:
Step-by-step explanation:
When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
value.
Answer:
Its normal value would be 50 beats per minute.
Step-by-step explanation:
20% = 10bpm
40% = 20bpm
60% = 30bpm
80% = 40bpm
100% = 50bpm
HELP MEEE PLSSSS CHOOSE IF YOU ARE GOING TO HELP POEASE CHOOSE TWO
Answer:
C) 12(5-3w) and A) 6(10-6w)
Step-by-step explanation:
60-36w=12(5-3w)
60-36w = 60+ -36w
Answer:C
Step-by-step explanation:
11 /5,786
what does the r mean
Step-by-step explanation: The set of real numbers is denoted using the symbol R or. and is sometimes called "the reals".
Answer:
r mean remainder
r = 0
Step-by-step explanation:
[tex]5786 \div 11 = 526 \\ qoutient = 526 \\ remainder \: r = 0[/tex]
Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *
Answer:
80% of the class is made up of boys
Step-by-step explanation:
7/35 are girls, which means, 28/35 are boys (35 - 7)
To find the percentage, you divide 28 by 35
28/35 = 0.8 or 80%
Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?
Answer:
4
Step-by-step explanation:
(3+5+6+2+4) / 5 = ?
(20) / 5 = 4
Sarah is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Sarah have to choose from?
Answer:
5 outfits
Step-by-step explanation:
The number of many different outfits does Sarah have to choose from should be 32.
Calculation of the number of different outfits;Since She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.
So here the number of distinct outfits should be like
[tex]= 2\times 8 \times 2[/tex]
= 32
hence, The number of many different outfits does Sarah have to choose from should be 32.
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help pleasee!! No links!!
4*(3.4 + 2) - (56 divided by 7) = 13.6, please givee an explanation for this/solution!!
Answer:
13.6
Step-by-step explanation:
[tex] 4 \times (3.4 + 2) - (56 \div 7) = [/tex]
We must follow the correct order of operations.
We do what is in the parentheses first.
[tex] = 4 \times 5.4 - 8 [/tex]
Now we do the multiplication.
[tex] = 21.6 - 8 [/tex]
Finally, we subtract.
[tex] = 13.6 [/tex]
Answer: 13.6
What is the solution of x+15(x−1)=1?
Answer:
1
Step-by-step explanation:
for solve the bracket we have to multiply 1/5 for x and for -1
x+1/5x-1/5 = 1
now we have to multiply the two members of the equation by 5
5(x+1/5x-1/5) = 5
5x + x - 1 = 5
now we have to sum 1 at both members
5x + x -1+1 = 5+1
6x = 6
at least we have to divide the two members by 6
x = 1 that is the solution of the equation
help please triangles and trig
Answer:
[tex]\sin L = \frac{3}{5}[/tex]
[tex]\tan N = \frac{4}{3}[/tex]
[tex]\cos L = \frac{4}{5}[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.
[tex]LN^2 = LM^2 + MN^2[/tex]
[tex]10^2 = LM^2 + 6^2[/tex]
[tex]100 = LM^2 + 36[/tex]
Collect like terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
Take positive square root
[tex]LM=8[/tex]
Solving (a): Sin L
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
[tex]\sin L = \frac{6}{10}[/tex]
Simplify
[tex]\sin L = \frac{3}{5}[/tex]
Solving (b): tan N
[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan N = \frac{LM}{MN}[/tex]
[tex]\tan N = \frac{8}{6}[/tex]
Simplify
[tex]\tan N = \frac{4}{3}[/tex]
Solving (c): cos L
This calculated as:
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
[tex]\cos L = \frac{8}{10}[/tex]
Simplify
[tex]\cos L = \frac{4}{5}[/tex]
Solving (d): sin N
This is calculated using:
If [tex]a + b = 90[/tex]
Then: [tex]\sin a = \cos b[/tex]
So:
[tex]\sin N = \cos L[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
what is 1 1/3 as a single fraction
Answer:
Step-by-step explanation:
The mixed number 1 1/3 is equal to the improper fraction 4/3.
Answer:
4/3
explanation:
Which angle is EDF.
Answer:
d
Step-by-step explanation:
help please thanks plsss
Answer:
A
area = 256 inches²
side = √256 = 16 inches
B
0.0063 inch = 6.3 × 10^-3
HELP HELP !! & PlEASE SHOW WORK ! What would be the compound interest rate if Tom borrowed $6,000 at a 3% interest rate for 2 years?
$365.40
$185.40
$180.00
$250.00
Answer:
Compound interest = $365.4
Step-by-step explanation:
Given:
Amount borrowed = $6,000
Rate of interest = 3%
Number of year = year
Find:
Compound interest
Computation:
A = P[1+r]ⁿ
Amount after 2 year = 6,000[1 + 3%]²
Amount after 2 year = 6,000[1 + 0.03]²
Amount after 2 year = 6,000[1.03]²
Amount after 2 year = 6,000[1.0609]
Amount after 2 year = 6,365.4
Compound interest = Amount after 2 year - Amount borrowed
Compound interest = 6,365.4 - 6,000
Compound interest = $365.4
PLEASE HELP ME THE QUESTION IS ON THE PICTURE!!!!!
What is the formula of the surface area solved for r?
Answer:
Option CStep-by-step explanation:
It is the correct answer I explained in your next question
AABC is dilated by a factor of į to produce AA'B'C!
37
12
15
53
9
с
What is AC, the length of AC after the dilation? What is the measure of ZA?
A. A'C' = 5, m ZA= 12
O B. A'C' = 5, mZA'= 37°
O C. A'C' = 45, m A'= 37°
D. A'C' = 4, mZA'= 53°
Answer:
A'C = 45, m A' = 37
Step-by-step explanation:
You find the 45 by multiplying 15, the length of A'C by 3 to find the original size.
What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180
Answer:
n=11
Step-by-step explanation:
(11-2) 180
9×180=1620
please help im stuck on this
Answer
The slope is 2
Step-by-step explanation:
What is the slope of the function y = –6x – 3?
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
y = a * x + b --> slope is a = -6
Sheila had one gallon of milk. She used gallon of milk to make ice cream. She used another gallon of milk to make cookie dough. How much of a gallon of milk does Sheila have left?
Answer:
Step-by-step explanation:
we know that
1) Sheila had 1 gallon of milk
2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left
3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24
14/24-----> 7/12 gallon
5.3d = 42.4
pls help
Answer:
Step-by-step explanation:
Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.
molly makes 5 gallons of soup in a pot then she fills bowls that each hold 1/16 gallon of soup until the pot is empty how many bowls did she fill completely
Answer: 80 cowls
Step-by-step explanation:
5/(1/16)
Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet
per person, what is the maximum number of people that could attend this event?
Answer:675
Step-by-step explanation:
There are 39 rows of seats at the soccer field. Each row has 25 seats. Which
expression can be used to find the total number of seats? (correct answer - 1 points)
A) (30 x 20) + (9 x 5)
C.) (39 x 20)+(39 x 5)
B.) (39 x 2) + (39 x 5)
D) (39 x 20) + (39 x 50)
Answer:
C.) (39 x 20)+(39 x 5)
Step-by-step explanation:
to multiply 39 by 25, you multiply 39 by 20, and then multiply 39 by 5
Write a rule for the translation.
A) (x-1, y+2)
B) (x-2, y+1)
C) (x+2, y-1)
D) (x+1, y-2)
Write the decimal in expanded form: 8.6 ( no file or no link i will give brainliest if you are correct)
Answer:
8+0.6 is the expanded form I believe
Step-by-step explanation:
The whole number always comes first in decimal expanded forms, in this case, 8 is the whole number. Then you add the decimal part which is 0.6. So 8+0.6=8.6.
Answer:
notation is) 8 + 0.6
factor is) 8*1 + 6+.1
exponential is) 8^10^0 and 6^10^-1
word is) eight point six
Step-by-step explanation:
what is 500 / 60 x 70
Answer:
583.3
Step-by-step explanation:
Which of these are line(s) of symmetry?
A. Neither line
B. Only the solid line
C. Only the dashed line
OD. Both lines
Answer:
d:both lines
Step-by-step explanation:
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