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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QUICK WHATS 1 + 1 WRONG ANSWERS ONLYY
Answer:
5
Step-by-step explanation:
Because Math is Math smh
Answer:
Glizzy
Step-by-step explanation:
it tastes good
The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at the movie?
Answer:
12
Step-by-step explanation:
multiply. express your anwser in simplist form.. 1 7\8 × 2 1\3
Answer:
If not simplified 35/8 if simplified 4 and 3/8.
Have a fantastic day :)
simplify 3x[18+{3+4÷(4-2)}]
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
[tex]3 \times 18 + 3 + 4 \div ( 4 - 2)[/tex]
[tex]= 54 + 3 + \frac{4}{4 - 2}[/tex]
[tex]= 57 + \frac{4}{4 - 2}[/tex]
[tex]= 57 + \frac{4}{2}[/tex]
[tex]= 57 + 2[/tex]
[tex]= 59[/tex]
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Answer:
69
Step-by-step explanation:
3 ×{18 +[3 +4 :(4 - 2)]}
3 ×[18 +(3 +4 :2)]
3 ×[18 +(3 +2)]
3 ×(18 +5)
3 ×23
69
In the equation 3j = 75 + 9, what is the next step in the equation solving sequence?
Answer:
Combine 75 and 9
Step-by-step explanation:
3j = 75 + 9
Combine like terms
3j = 84
Answer:
3j = 75+9
3j = 84
j = 84/3
j = 28
The next step is to add, you are adding 75+9.
Given f(x) = {(4 - x), what is the value of f(16)?
Answer:
f(16)= 4-16
f(16)= -12
Write the equation of the line in slope-intercept form.
Answer:
y = -½x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + c
where m is the gradient (slope) and c is the y-intercept
We can find the gradient and intercept from the two points on the diagram
The points are:
(0, 3) and (4, 1)
The y-intercept is when x = 0
we are already given this point so
c = 3
now we can use our other point to find m. So:
1 = 4m + 3
-2 = 4m
-½ = m
Now we can put both variables into our slope-intercept form
y = -½x + 3
4log, 11 – 20log 35
Answer:
-26.71579
Step-by-step explanation:
Any scientific or graphing calculator can evaluate this expression for you.
In the following diagram \overline{DE} \parallel \overline{FG}
DE
∥
FG
start overline, D, E, end overline, \parallel, start overline, F, G, end overline and \overline{KL} \perp \overline{FG}
KL
⊥
FG
start overline, K, L, end overline, \perp, start overline, F, G, end overline.
What is the measure of \greenD{\angle x}∠xstart color #1fab54, angle, x, end color #1fab54?
Angles are not necessarily drawn to scale.Given the following:
Answer:
<x = 31°
Step-by-step explanation:
m<BCA = m<GCJ (vertical angles)
m<BCA = 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC = 90°
m<BAC + m<ABC + m<BCA = 180° (sum of triangle)
m<BAC + 90° + 59° = 180° (Substitution)
m<BAC + 149° = 180°
m<BAC = 180° - 149°
m<BAC = 31°
<x = <BAC (vertical angles)
m<x = 31° (substitution)
Answer:
its 32.
Step-by-step explanation:
I i kept doing clues on khan academy and it asked me
what is the solution to this inequality . 4x+1>9x+16
Answer:
x < -3
Step-by-step explanation:
4x + 1 > 9x + 16
-15 > 5x
-3 > x
Justin made peanut butter and Almond butter. He made enough peanut butter to fill 3/5 of a jar. If he made 4 1/5 times as much almond butter as peanut butter, how many jars will the almond butter fill?
Answer:6
Step-by-step expla
Similarities between capitalism and Socialism
Answer:
there social system
Step-by-step explanation:
Anita collects shells and stones in a ratio of 1 : 2 If she has a total of 6 shells , how many stones does she have ?
Solve |4x|+6=22 nester any fractions as decimals rounded to the nearest hundredths
What is the value of x?
x−16=8
Enter your answer in the box in simplest form.
Answer:
x = 24
Step-by-step explanation:
Lets isolate x.
Add 16 on both sides.
x-16 = 8
+16 +16
x should be isolated now.
x = 24
It is isolated.
So... x = 24
find surface area please
Answer:
The area is 54.6
Step-by-step explanation:
Hopefully this helps!
Is this function? Please help
Answer:
Its a funcion if "x" doesnt repeat
Step-by-step explanation:
HELP PLZZZZ
THANK YOU SO MUCH FOR HELPING ME!!!!
What are the slope, m, and y-intercept, b, of a line that passes through the points
(3,-1) and (7,-5)?
Answer:
Slope would be m= -1, y-int is 2.
Step-by-step explanation:
To find slope, use (y2-y1/x2-x1) Plugging this in, we get (-5-(-1)/(7-3). This can be simplified to -4/4, which is -1. After we find slope, we plug in one of the points to find be. Using (7,-5), y=-5 and x=7. So, -5=7(-1)+b. -5=-7+b. Add 7 to both sides, b=2. Therefore, the entire equation is y=-x+2.
Answer:
The answer is 1
Step-by-step explanation:
use slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
3 is xsub1
-1 is ysub1
7 is xsub2
-5 is ysub2
substitute and solve!
[tex]m= \frac{-5-(-1)}{7-3}\\= \frac{-5+1}{4}\\= \frac{-4}{4}\\= -1[/tex]
slope is 1
hope this helps!
The two triangles shown are similar. Find the value of
a
b
2.1
1.4
Answer:a 2.1 similar to 1.4 is 5.6 n answer to your question
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
a. Find the vertex form equations (y = a(x - h)2 + k) for the parabolas below.
Assume parameter a = 1.
I
b. Then rewrite the equations in standard form (y = ax + bx + c).
Hint: multiply out your answer from part a.
Answer:
y=-(x+3)^2
y=-x^2-6x-9
Step-by-step explanation:
i uh hope this is correct
hope thia helps <3
Express 19.07 as a mixed number.
Perform the following calculation and round your answer appropriately to the correct number of significant figures: 10. x 0.007809
Answer:
0.07809
Step-by-step explanation:
all do is multiply it and you will get your anwer.
The points (12,14) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer: 5/2
Step-by-step explanation:
49 - 42/ 14 - 12
A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable with mean 109 and standard deviation 11. His profit on each bar sold is $0.12, and it costs him $10 per week to maintain the machine and rent the space for it. What are the mean and standard deviation for Y= the profit he earns from this machine in a randomly selected week?
Answer:
10
Step-by-step explanation:
A theater charges $45 for each general admission ticket and $25 for each same-day ticket. If Dan spent $485 on 13 tickets, how much money did he spend on same-day
tickets?
$225
$200
$125
O $75
Answer:
Step-by-step explanation:
45g + 25s = 485
g + s = 13
45g + 25s = 485
-25g - 25s = -325
20g = 160
g = 8
8 + s = 13
s = 5
25(5)= $125 on same-day tickets
Solve and show your work.
What is 3/4 of 1/2?
3/4 of 1/2
⚠️REMEMBER IN MATH THE WORD *OF* STANDS FOR MULTIPLICATION⚠️
so 3/4 x 1/2
when multiplying two fractions, we multiply the numerators together and the denominators together
(3 x 1) / (1 x 2)
that is
3/8
so 3/4 of 1/2 is 3/8
Hope this helps :)
[tex]\frac{3}{4} *\frac{1}{2}[/tex]
Is 6,364 a reasonable product for 706×45
Answer:
I don't think so because I tried it and that's what I got
Step-by-step explanation:
Answer:
No, it is not. A reasonable product is 31,770.
Step-by-step explanation:
Ever heard of a calculator? It's way faster.
45 x 100 = 4,500
4,500 x 7 = 31,500
45 x 6 = 270
31,500 + 270 = 31,770
Someone help please
Answer:
1.0
Step-by-step explanation:
you have to follow the arrow
x and y intercepts for -4x+2y=6
Answer:
y-intercept = 3
x- intercept = -1.5
Step-by-step explanation:
-4x + 2y = 6
+4x + 4x
2y = 4x + 6
2 2
y = 2x + 3
Graph then you would get the coordinates of (0, 3) and (-1.5, 0)
Answer:
x intercept: (-3/2,0)
y intercept:(0,3)
Step-by-step explanation: