Compound interest is the interest that is compounded daily, weekly, monthly, annually e.t.c on a loan, investment, or an amount of money kept in a financial institution.
Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
For Amber:The formula to find the amount compounded daily after 10 years is:
A = P(1 + r/n)nt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Daily = 365 days
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.08/365)^(365x10)
A = 1,000.00(1 + 0.000219178)^(3650)
A = $2,225.35
The interest for Amber is:
P (principal) = $1,000.00
A( Amount) = $2,225.35
I (interest) = P - A
= $$2,225.35 - $1,000.00
= $1,225.35
For JinThe formula to find the amount compounded continuously after 10 years is:
A = Pe^rt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Continuously
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = Pe^rt
A = 1,000.00(2.71828)^(0.08)(10)
A = $2,225.54
The interest for Jin is:
P (principal) = $1,000.00
A( Amount) = $2,225.54
I (interest) = P - A
= $$2,225.54 - $1,000.00
= $1,225.54
Comparing the interest for both Amber and Jin, we find the difference to know who earns more.
Jin's interest - Amber's interest
= $1,225.54 - $1,225.35
= $0.19
Jin earns more interest.
Therefore, Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
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A 150 inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answer:
i think it is 37.5
Step-by-step explanation:
hope this helps
Equivalent radios to 2:12
Answer:
1:6Step-by-step explanation:
[tex]2:12[/tex]
Cross cancel common factor : 2
[tex]2 \div 2 = 1 \\ 12 \div 2 = 6 \\ 1:6[/tex]
what is the slope of the line that passes through the points (-3,1) and (7,-14)
Answer:
[tex] - \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the formula above,
slope of line
[tex] = \frac{1 - ( - 14)}{ - 3 - 7} \\ = \frac{1 + 14}{ - 10} \\ = \frac{15}{ - 10} \\ = - \frac{3}{2} [/tex]
Pina filled out the following information on the back of her monthly statement:
Ending balance from statement $1,139.78
Deposits outstanding
+ $280.67
Total of checks outstanding
- $656.91
Revised statement balance
Balance from checkbook
$763.54
Find Pina's revised statement balance. Does her account reconcile?
Answer:
yes
Step-by-step explanation:
It is true that Pina's account reconciles.
The monthly statement is given as:
Ending balance from statement $1,139.78 Deposits outstanding + $280.67 Total of checks outstanding - $656.91 Revised statement balance $ Balance from checkbook $763.54Start by calculating the revised statement at the end of the month.
This is calculated using:
[tex]Revised = Ending\ Balance + Deposit\ Outstanding - Checks\ Outstanding[/tex]
So, we have:
[tex]Revised = \$1139.78 + \$280.67 - \$656.91[/tex]
Evaluate the expression
[tex]Revised = \$763.54[/tex]
By comparison, the revised statement equals the balance from the checkbook.
Hence, we can conclude that her account reconciles.
Read more about checkbooks at:
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what is the equation of the line that passes through (6,4) and (4,1)
Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2)
slope formula ---> m=(y2-y1)/(x2-x1)
Replacing the given points ---> m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5
Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job. Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
whats the answer? to this
Answer:
x=2 y=5
Step-by-step explanation:
Write in standard form (4x10)+(3x1)+(7x1/10+(6x1/100)
9514 1404 393
Answer:
43.76
Step-by-step explanation:
Add up the terms:
4×10 +3×1 +7×1/10 +6×1/100
= 40 +3 +0.7 +0.06
= 43.76
_____
If you're in a part of the world where "standard form" and "scientific notation" are the same thing, then this would be ...
4.376×10¹
6p + 5q - 6p
I need help evaluate the final solution
Answer:
5q
Step-by-step explanation:
6p and -6p cancel out.
I think you might be missing more of the equation.
if I misunderstood something, please let me know!
You have $9.33. You buy 7 items that cost $0.87 each. How much money do you have left?
Answer:
$3.24
Step-by-step explanation:
0.87 x 7 = 6.09
9.33 - 6.09 = 3.24
Use the figure to find measures of the numbered angles.
94°
12
314
Z1 =
22=
23 =
24=0
angle 2 =94
angle 3=94
angle 1,4=86
5(x-6)+3x=.75(2x-8)
solve.
Answer:
Step-by-step explanation:
5(x-6)+3x=.75(2x-8)
5x - 30 + 3x = 1.5x - 6
6.5x = 24
x = 3.7
what is the difference between sixteen thousand dollars and three thousand, five hundred and fifty dollars?
Answer: 2500
Step-by-step explanation:
Nicholas took a total of 10 quizzes over the course of 2 weeks. How many weeks of school will nicholas have attend this quarter before he will have taken a total of 15 quizzes?
Answer:
would be 3 weeks
Step-by-step explanation:
He is taking about 5 each week he has done 10 in 2 weeks so should be 3 weeks.
Answer:
3 weeks
Step-by-step explanation:
2 weeks is 10 quizzes and 1 week is 5 quizzes, so 2+1=3
Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)
Answer:
(−7 / 2, −1)
Step-by-step explanation:
Given m∠3+m∠8=180° . PLEASE I NEED HELP
Which lines are parallel, if any must be parallel, based on the given information?
A) - Not enough information to make a conclusion.
B) - c∥d by the converse of the same-side interior angles theorem.
C) - a∥b by the converse of the corresponding angles theorem.
D) - c∥d by the converse of the alternate interior angles theorem.
I think the answer is C
c∥d by the converse of the same-side interior angles theorem.
What is same-side interior angles theorem.?If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
Given:
m∠3+m∠8=180°
As, we can see that <3 and <8 are lies on same side of transversal.
So, the line that are parallel are c and d converse of the same-side interior angles theorem.
Hence, c∥ d by the converse of the same-side interior angles theorem.
Learn more about same-side interior angles theorem here:
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What is the equation in slope intercept form of the line that has a slope of -8 and y-intercept of 4/5?
Answer:
y=-8x+4/5
Step-by-step explanation:
the formula for slope intercept is y=mx+b so you just plug in the numbers. m is slope and b is the y intercept
sorry if this is wrong :)
Answer:
The answer will be listed below!
Step-by-step explanation:
The equation would be y=-8x+4/5. Slope intercept form is y=mx+b. m would be the slope while b is the y-intercept so in the end, you get y=-8x+4/5.
if n is 24 what is n
Answer:
n is 24
Step-by-step explanation:
If n is 24, then n has to be 24
Which explains how to show that x= -8/3 is a root of 9x^2+48x+64= 0 ?
Step-by-step explanation:
[tex]9 {( - \frac{8}{3}) }^{} {}^{2} + 48( - \frac{8}{3} ) + 64 \\ \\ 9( - \frac{64}{9} ) - \frac{48}{3} + 64 \\ \\ - 64 - 16 + 64 = - 16[/tex]
pls help! i’ll mark brainlest :)
Answer:
3,1. .........................
Answer:
I believe it is (0,4) I'm not sure though
Step-by-step explanation:
Becka borrowed $460 from her cousin at the rate of 8.5% per year. If the inflation rate was 2.7% that year, what is her cousin's actual rate of return on the loan?
Answer:4%
Step-by-step explanation:
6%-2%=4%
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. *
5 points
Segment EF is twice as long as segment AB.
Segment CD is twice as long as segment FG.
The measure of angle HEF is twice the measure of angle DAB.
The length of segment EH is 16 units.
The area of EFGH is twice the area of ABCD.
Answer:
✔️Segment EF is twice as long as segment AB
✔️The length of segment EH is 16 units.
Step-by-step explanation:
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Therefore: scale factor = ratio of any of their corresponding side
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
✔️Segment EF is twice as long as segment AB
(EF = AB*scale factor = 3*2 = 6)
✔️The length of segment EH is 16 units.
(EH = AD*scale factor = 8*2 = 16)
Answer:
akposevictor
Genius
4.9K answers
8.4M people helped
Answer:
✔️Segment EF is twice as long as segment AB
✔️The length of segment EH is 16 units.
Step-by-step explanation:
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Therefore: scale factor = ratio of any of their corresponding side
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
✔️Segment EF is twice as long as segment AB
(EF = AB*scale factor = 3*2 = 6)
✔️The length of segment EH is 16 units.
(EH = AD*scale factor = 8*2 = 16)
shoutout to akposevictor he helped me get 100 so yea
Step-by-step explanation:
1. 342 ÷ 135/7
2. 143 ÷ 188/7
PLZ HURRY
Answer:
1. 17.73 or 17 [tex]\frac{11}{15}[/tex] or [tex]\frac{266}{15}[/tex]
2. 5.32 or 5[tex]\frac{61}{188}[/tex] or [tex]\frac{1001}{188}[/tex]
Step-by-step explanation:
Each one is correct trust me ;)
Assume that a procedure yields a binomial distribution with a trial repeated
n=5 times. Use some form of technology to find the probability distribution given the probability p=0.156 of success on a single trial.
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 5, p = 0.156, and q = 0.844.
r = 0, P = ₅C₀ (0.156)⁰ (0.844)⁵⁻⁰ = 0.428
r = 1, P = ₅C₁ (0.156)¹ (0.844)⁵⁻¹ = 0.396
r = 2, P = ₅C₂ (0.156)² (0.844)⁵⁻² = 0.146
r = 3, P = ₅C₃ (0.156)³ (0.844)⁵⁻³ = 0.027
r = 4, P = ₅C₄ (0.156)⁴ (0.844)⁵⁻⁴ = 0.002
r = 5, P = ₅C₅ (0.156)⁵ (0.844)⁵⁻⁵ ≈ 0
How to round 13294 to the nearest ten,to the nearest hundred, to the nearest thousand and to the nearest ten thousand
Answer:
Ten, 13290 Hundred, 13300 Thousand, 13000 Ten Thousand, 10000
Step-by-step explanation: If the number to the right of the number you are rounding lets say 6969 in the tens place 6, to the right of that six is a nine which is larger than 5 (when rounding if a number is 5 and up you round it up if its 4 and lower let it stay the same) so it would be 6970 because everything to the right of it as including the number you are rounding it up/down because of it turs to a zero
will mark brainliest, a THX, friend request, and will rate ur answer
Answer:
35/4
Step-by-step explanation:
8 × 4 = 3232 + 3 = 35Write 35 over the original denominator: 35/4I hope this helps!
A square piece of fabric has a length of 2.9 cm find the area of the piece of fabric
Answer:
8.41
Step-by-step explanation:
PLEASE HELPP ASAP!! what is the value of H in the diagram below ? if necessary, round your answer to the near test tenth of the unit
“CAN”
PLACE VALUE
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055
Answer:
The 5 in the tens place is 10 times greater than the 5 in the ones place
Step-by-step explanation:
You can do 5*10 witch would get you 50 and 50 is 10 times greater than 5.
Answer:
it has 10 times the value
Step-by-step explanation:
5 in the tens place is worth 5 tens, or 50
5 in the ones place is worth 5 ones, or 5
50 is 10 times 5.
The 5 in the tens place has 10 times the value of the 5 in the ones place.
You buy butter for $3 a pound one portion of onion compote requires 1.6 oz of butter how much does the butter for one portion cost?
Answer:
.30
Step-by-step explanation:
Purchase Cost = Cost per Portion x Portion Per Purchase
16 oz=1lb
