Find the compound interest on 5000 at 12% interest for 15 years.
if the interest is compounded semi-annually.
18000
Step-by-step explanation:
5000*12%= 600 600× 30= 18000 15 years semi annually = 30 x
The compound interest on $5,000 at 12% interest for 15 years compounded semi-annually is $22,243.58
To find the compound interest on $5,000 at 12% interest for 15 years compounded semi-annually, we can use the formula:
A = P(1 + r/n)^(n*t)
where:
P = principal amount = $5,000
r = annual interest rate = 12% = 0.12
n = number of times compounded in a year = 2 (compounded semi-annually)
t = time period in years = 15
A = amount after t years
Plugging in the values, we get:
A = 5000(1 + 0.12/2)^(2*15)= $27,243.58
So, the amount after 15 years is $27,243.58. To find the compound interest, we can subtract the principal amount from the amount after 15 years:
Compound interest = A - P
= $27,243.58 - $5,000
= $22,243.58
Therefore, the compound interest on $5,000 at 12% interest for 15 years compounded semi-annually is $22,243.58.
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PLEASE HELP ME
Given the function f (x) = 3x — 2, what is the value of f (3)?
A.
7
B.
-2
C.
12
D.
25
Answer:
A. 7
Step-by-step explanation:
f(x) = 3(3) - 2
f(x) = 9 - 2
f(x) = 7
good luck, i hope this helps :)
Answer:
B = -2
Step-by-step explanation:
The aspect ratio of a TV screen is the ratio of the horizontal length to the vertical height. If the TV has a diagonal of 100 cm and the aspect ratio is 4:3, then find the horizontal length and the vertical height of the TV screen.
Answer:
The horizontal length is 80 cm, and the vertical height is 60 cm.
Step-by-step explanation:
The aspect ratio is the ratio of the horizontal length to the vertical height.
We have a rectangle with sides 4 and 3. We can find the length of the diagonal.
We can use the Pythagorean theorem to find the length of the diagonal.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
c^2 = 25
c = 5
The diagonal is 5 in the ratio.
The ratio of the horizontal length to the vertical height to the diagonal is
4:3:5
We multiply all the numbers in the ratio by the same unknown, x.
A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.
We are told that the diagonal is 100 cm, so we have
4x : 3x : 100,
but we already had a ratio of
4x : 3x : 5x, so
5x = 100, and we can find x.
5x = 100
Divide both sides by 5.
x = 20
Since x = 20, then the horizontal length 4x = 4(20) = 80,
and the vertical height 3x = 3(20) = 60
Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.
Answer:
horizontal length=80, vertical length=60
Step-by-step explanation:
a^2 + b^2 = c^2
the tv is a 3:4:5 right triangle
the ratio is then changed from
3:4:5
to
60:80:100
because 100/5 = 20
so you multiply the original ratio by 20
(because the length of 100 that we are given is the hypotenuse of the triangle(diagonal of the tv))
Therefore,
the horizontal length is 80
the vertical lengt is 60
Is it a function or not a function?
Answer:
not a function
Step-by-step explanation:
Look at picture
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2.5 hours
I'm doing a math test, and I don't understand this question. How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height of 2 1/3 inches?
Answer: 62
Step-by-step explanation:
First and foremost, we have to calculate the volume of the box which will be:
= 2 2/3 × 3 1/3 × 2 1/3
= 8/3 × 10/3 × 7/3
= 560/27
= 20 20/27
The number of 1/3 inch cubes needed to fill the box will then be:
= 20 20/27 ÷ 1/3
= 560/27 ÷ 1/3
= 560/27 × 3
= 560/9
= 62 2/9
Therefore, 62 boxes can be filled
if 40% is 972 how much is 100%?
Answer:
2430
Step-by-step explanation:
40%-> 972
100% -> 972÷40×100
= 2430
what does mx+b stand for
Answer:
thats the equation for slope-intercept form
Step-by-step explanation:
m is the slope and b is where the line intercepts on the y axis
Answer:
linear equation
Step-by-step explanation:
happy to help ya :)
A seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degrees.
What is the value of x?
Answer:
x = 150
Step-by-step explanation:
x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630
3x + 180 = 630
3x = 450
x = 150
The value of x is 150
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
We are given that seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degree
Therefore, the sum of all the angles are;
x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630
3x + 180 = 630
3x = 450
x = 150
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How far along a motorway would you travel if you drove at 70 mph for 4 hours
Answer:
280 miles
Step-by-step explanation:
in one hour, you would travel 70 miles because you are going at the speed of 70mph
so to find out how far you go in 4 hours you would multiply 70(mph)×4(hrs) which would be?
280 miles
Step-by-step explanation:
Distance=speed x time
Speed=70mph
Time=4 hours
Distance=70 x 4
Distance=280m
PLEASE HELP I GIVE BRAINLIEST
Answer:
A) rectangle, 10 x 6
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Angle 1 measure 75 degree what is its complement
2-(3x+5)=5-2x
i have too answers but need the right one lol
Answer:
x = -8
Step-by-step explanation:
Answer:
Solution given;
2-(3x+5)=5-2x
2-3x-5=5-2x
-3-5=3x-2x
x=-8 is your answer.
Serenity needs to lease out a music studio to record her new album the studio charges an initial studio use fee of 400 plus an hourly fee of 150 write an equation for p in terms of t representing the amount of money serenity would have to pay to use the studio for t hours
Answer:
Step-by-step explanation:
P= 150t + 400
!?? what would this beee!!
Answer:
Step-by-step explanation:
(4x-30)=2x
2x=-30
x=15
What is the perimeter of the rectangle shown below?
A
7
A. 10 units
B. 21 units
C. 13 units
D. 20 units
Answer:
20
Step-by-step explanation:
How to find the perimeter of a rectangle:You add the same number twice to both numbers, then add the total of both numbers and that will get you your answer.
In this equation:
Add the same number twice.
[tex]7+7=14[/tex][tex]3+3=6[/tex]Then you add both numbers up.
[tex]14+6=20[/tex]Therefore your answer is [tex]20[/tex].
Note: I hope this helped, sorry for the late answer but should help others in the meantime. :) and it would help me a lot if you would give brainliest. :crown:, and comment if you still don't understand and ill be happy to assist you further. This goes to anyone.
IM 6 grader I need help on this plzzz
Answer:
A reflection over the y-axis
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the adjoining figure , AD is the bisector of [tex] \angle[/tex] BAC and AD [tex] \parallel[/tex] EC. Prove that AC = AE .
~Thanks in advance ! ♡
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ } AD\text{ bisects } \angle BAC[/tex] Given
[tex]2)\text{ } \angle BAD \cong \angle CAD[/tex] Definition of Bisector
[tex]\displaystyle 3) \text{ } A D \parallel E C[/tex] Given
[tex]\displaystyle 4)\text{ } \angle CAD\cong \angle ACE[/tex] Alternate Interior Angles Theorem*
[tex]\displaystyle 5) \text{ } \angle BAD\cong \angle BEC[/tex] Corresponding Angles Theorem*
[tex]6)\text{ } \angle CAD\cong \angle BEC[/tex] Substitution
[tex]7)\text{ } \angle ACE\cong\angle BEC[/tex] Substitution
[tex]\displaystyle 8)\text{ } AC = A E[/tex] Isosceles Theorem Converse
*Please refer to the attachment below.
Let me know if you have any questions!
Answer:
In the given figure AD is internal bisector of angle A and CE is parallel to DA. If CE meets BA produced at E.
to prove :AC=AE
<BAC + <EAC = 180° ( Straight line)
In triangle ACE
<ACE + <AEC + <EAC = 180° (sum ofangles of Triangle)
Equating both
<BAC + <EAC = <ACE + <AEC + <EAC
=<BAC = <ACE + <AEC.......... Eq 1
<BAD = (1/2) <BAC
<BAD = <AEC so (AD || CE)
we get
<AEC = (1/2) <BAC
putting this in eq 1
=<BAC = <ACE + <AEC Eq1
<BAD = (1/2) <BAC
<BAD = <AEC (AD || CE)
=<AEC = (1/2) <BAC
<AEC=<ACE=1/2 <BAC
: AC = AE
hence proved.
5 x 2 for easy points first answer gets brainliest
10.............................
Answer:
br uh
Step-by-step explanation:
the x and y intercepts for this equation plz y=−1/4x+2
(_,_)
Answer:
[tex] \boxed{ \boxed{ \sf \: x \: intercept : 8 \atop \sf \: y \: intercept : 2}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:linear equationPEMDASgiven:[tex] \tt y = - \frac{1}{4} x+ 2[/tex]to find:x and y intercepttips and formulas:to find x and y intercept we have to substitute x and y to 0 let's solve:let's substitute x to 0 to find y intercept
y=-¼(0)+2y=2therefore y intercept is 0
let's substitute y to 0 to find x intercept
0=(-¼)x+2(-¼)x=-2x=-2×-4x=8therefore
x intercept is 8and
y intercept is 2also see the graph
explanation of the graph
you can clearly see that the red line crosses x and y axis to (8,0) and (0,2) respectively
therefore
x intercept is 8
and
y intercept is 2
Debbie had $100.00 to spend on shoes and shirts. She bought 1 pair of shoes for $53.84, including sales tax. Each shirt costs $8.19, including sales tax. What is the maximum number of shirts Debbie can purchase?
she can buy 5 shirts maximum
100-53.84=46.16 that is how much she has left to spend on shirts. 46.16÷8.19=5.63 but you can't have 0.63 shirts so in the end she can buy 5 shirts
An iron bar has volume 650 cm' and density 7.87 g/cm3.
Work out the mass of the iron. Give your answer in
a) grams
b) kilograms
Answer:
a.5115.5g
b. 5115.5/1000= 5.1kg
Step-by-step explanation:
Given data
volume= 650 cm^3
density= 7.87 g/cm^3
We know that
density= mass/volume
mass= density*volume
mass= 7.87*650
mass= 5115.5 g
a.5115.5g
b. 5115.5/1000= 5.1kg
What is the formula for area of a rectangle/square/parallelogram?
Answer:
Rectangle= lw (length times width)
Square= a²
Parallelogram=bh (base times height)
Simplify the ratio 25:35
Answer:
5:7
Step-by-step explanation:
Step-by-step explanation:
5:7 is the simplified fraction of 25:35
It’s probably rlly simple I just dk how to do it :)
Answer:
18,0
Step-by-step explanation:
By useing desmos, the line has an x intercept of 18 making that the answer.
PLZ MARK AS BRAINLIEST
Answer:
D = 18
Step-by-step explanation:
[tex]6 = \frac{1}{3}d[/tex]
[tex]3*(\frac{1}{3} d) = (3)*(6)[/tex]
[tex]d=18[/tex]
I NEED HELP PLEASE WILL MARK BRAINLIEST!!!!!!!!!
Answer:
i thank is is the number 2
Is, “What is your favorite color?” A statistical question? Why or why not?
Answer:
This is a statistical question because to answer this question, you would collect data by asking students about their favorite colors, and there would be variability in the data. The favorite color would not be the same for every student
Step-by-step explanation:
Susan had 30 items of clothing in her wardrobe. She donated 20% of her clothing during a charity clothing drive at the school. How many items of clothing did Susan donate?
how many solutions douse -5x-8=+8
one solution
no solution
Infinitely Many Solutions
Answer: One solution
Step-by-step explanation:
Given
-5x-8=8
Add 8 on both sides
-5x-8+8=8+8
-5x=16
Divide -5 on both sides
-5x/-5=16/-5
x=-3.2
Therefore, it has one solution
Hope this helps!! :)
Please let me know if you have any questions
Please help meeeee !!!
Answer:
its c
Step-by-step explanation: