Answer:
$18,781.5
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Loan amount (P) = $15,000
Rate of interest (r) = 23%
Time (t) = 5 years
Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,
Final amount = P [tex](1 + ( r/t))^{t}[/tex]
by putting the value in formula, we get
= $15,000 ( [tex](1 + ( 0.23/5))^{5}[/tex]
= $15,000 × 1.2521
= $18,781.5
Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. A tube of paint covers 300 square inches. Part B How many tubes of paint should Jerome buy?
Answer:
2.93 but rounding because he must purchase whole tubes: 3.
Step-by-step explanation:
So, to figure this out, we must recall the formula for sufrace area of a rectangle:
2*L*H+2*L*W+2*W*H
This is a bit long, so lets break it up into 3 seperate segments, and plug in values:
2*L*H
Plug in the values:
2*20*10
=
400
2*L*W
Plug in the values:
2*20*8
=
320
2*W*H
Plug in the values:
2*8*10
=
160
Now that we have solved for each segment, lets add them together to get our total surface area:
400+320+160
=
880
So this is the surface area.
Now, we know that a tube of paint covers 300 of the 880 surface area.
To find the exact amount, lets divide the 880 by the 300:
[tex]\frac{880}{300}[/tex]
Simply:
[tex]\frac{44}{15}[/tex]
This is sligthly less than 3, and doing it out, you actually get 2.93 with the 3 repeating.
Now we need to think about something. Lets say you are going to the grocery store, and you need 1.895893 lettuce. Do you think you will find 1.89 lettuce? No, you could get 1 or 2, but not 1.89 lettuce, that just doesnt make sense.
It is the same thing here, we have to round up. Note that when doing problems such as these, you will never round down. If you need 1.253 tubes of paint, you arent going to get 1. You are going to need 2. So note that you will always round up when you solving a problem like this.
So your answer is 3.
Hope this helps!
What is the area of the rectangle
Answer:
E. 54cm ^2
Step-by-step explanation:
when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm
Answer:
E
Step-by-step explanation:
length times width
6 x 9 = 54
The graph shows a line and two similar triangles.
What is the equation of the line?
y = 3 x
y = one-third x
y = one-third x + 2
y = 3 x + 2
Answer:
y=1/3x+2
Step-by-step explanation:
please help me you get 20 points !
Consider the equations below:
y = 2x and 6x = 3y + 5
Are the lines parallel or perpendicular?
A Parallel because the product of the slopes is -1.
B Parallel because the slopes are the same.
C Perpendicular because the product of the slopes
is -1.
D Perpendicular because the slopes are the same.
==========================================================
Explanation:
Let's solve 6x = 3y + 5 for y
6x = 3y + 5
6x-5 = 3y
3y = 6x-5
y = (6x-5)/3
y = (6x)/3 - (5/3)
y = 2x - (5/3)
This final equation is in the form y = mx+b with m = 2 as the slope and b = -5/3 as the y intercept.
With the equation y = 2x, aka y = 2x+0, the m and b values are m = 2 and b = 0 respectively.
We see that both equations have the same slope (m = 2), but different y intercepts. Therefore, the two lines are parallel. If both y intercepts were the same as well, then we'd be talking about the same identical line.
If the slopes multiplied to -1, then the lines are perpendicular. In any other case, the two lines are neither parallel nor perpendicular.
i give brainlesss if u help me
Answer:
91,858
Step-by-step explanation:
This is the right answer
Answer: the answer is B hope it helps
Step-by-step explanation:
16,468 plus 75,390 = 91858
Please help me with this
Answer:
33
Step-by-step explanation:
he radius of a sphere is 10 units. Find the volume of the sphere. Write your answer in terms of pie .
The volume is
cubic units. HURRY ASAP PLS IT DUE IN 10 MINS
[tex]\huge\mathcal\pink{Answer}[/tex]
radius r = 10 m
volume V = 4188.7902 m3
surface area A = 1256.63706 m2
circumference C = 62.8318531 m
In Terms of Pi π
volume V = 1333.33333 π m3
surface area A = 400 π m2
circumference C = 20 π m
PLEASE HELP!!! IM DESPERATE!!! NO LINKS!!! If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
16.5 feet is the height of the house.
what is the standard deviation of 6, 2, 3, 1
Answer:
1.870828693387
Step-by-step explanation:
Standard Deviation, σ: 1.870828693387
Count, N:4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Steps
σ2 = Σ(xi - μ)2
N = (6 - 3)2 + ... + (1 - 3)2
4 = 14
4 = 3.5
σ = √3.5
= 1.870828693387
What does the simple interest stand for? Interest = Principal x Rate x Time Interest = Per unit x Rate x Time Interest = Price x Rate x Total Interest = Principal x Rest x Total
9514 1404 393
Answer:
(a) Interest = Principal x Rate x Time
Step-by-step explanation:
The letters in the simple interest formula ...
I = Prt
stand for ...
Interest = Principal x Rate x Time
can someone help me with my math pls
Answer:
Both 4x^2 and 64 are perfect squares
Step-by-step explanation:
If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.
The second option is invalid because being an even number does not mean the number is a square.
The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.
Giving brainlist to whoever answers
Answer:
C.
Step-by-step explanation:
Help asap!!!!!!!!!!!!!!!!
How do you know the that two triangles are similar?
Answer:
Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar
Step-by-step explanation:
Answer: they look similar
Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)
HELP PLEASE I SUCK AT THIS!<3
A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?
Answer:
The polar bear weighs 525kg
Step-by-step explanation:
C = Polar Bear
D = Baby Elephant
____________________________
(1) C + D = 700 kg
(2) C = 3D
________________________________
C = 700 - D
700 - D = 3D
700 = 4D
________________________________
525 + 175 = 700
Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.
Hope this helps you :)
Which of these symbols stands for greater than?
Answer:
>
Hope this helps!!
For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of the 18 term
Answer:
[tex]18th=44032[/tex]
Step-by-step explanation:
From the question we are told that:
9th term [tex]a9=\frac{43}{256}[/tex]
14th term [tex]a14=172[/tex]
Generally the equation for Geometric sequence is mathematically given by
[tex]a_n=a_1r^{n-1}[/tex]
For 9th term
[tex]\frac{43}{256}=a_1r^{8}[/tex]
For 14th term
[tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]
Substitute in 9th term
[tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]
[tex]\frac{43}{256*172}=r^{-5}[/tex]
[tex]r=^5sqrt{\frac{44032}{43}}[/tex]
[tex]r=4[/tex]
Therefore First term a is given as
[tex]a_1=\frac{172}{4^13}[/tex]
[tex]a_1=2.563*10^{-6}[/tex]
Generally the equation for the 18th term is mathematically given by
[tex]18th=a_1r^{17}[/tex]
[tex]18th=2.563*10^{-6}*4^{17}[/tex]
[tex]18th=44032[/tex]
Help me creas a geometric sequence please.
Create your own geometric sequence with 5 terms and define the common ratio and a1 in your sequence.
Step-by-step explanation:
2, 6, 18, 54, 162
ratio = 6/2 = 3
a1 = 2
The kids are racing around a circle on the playground with a radius of 12 feet. If they ran around it 5 times, how far did they run round to the nearest foot?
Answer:
377 feet
Step-by-step explanation:
Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r
Plug in 12 as r, the radius, then solve:
C = 2[tex]\pi[/tex]r
C = 2[tex]\pi[/tex](12)
C = 24[tex]\pi[/tex]
Multiply this by 5, since the kids ran around it 5 times:
24[tex]\pi[/tex](5)
= 120[tex]\pi[/tex]
To the nearest foot, this is 377.
So, the kids ran round 377 feet
will give brainiest!
The Pythagorean Identity states that:
(sin x)2 + (cOS X)2 = 1
Given cos 0 = 6/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]
What do the following two equations represent?
Answer:
C)
Step-by-step explanation:
Choose the correct graph of the given system of equations. (2 points)
y − 2x = −1
x + 3y = 4
a
graph of two lines, one with a positive slope and one with a negative slope, that intersect at the point negative 1, 1
b
graph of two lines that intersect at the point 1, 1
c
graph of two parallel lines with positive slopes
d
None of the above
it's b because the graph of two lines that intersect at the point one it's like
To the nearest gallon, what is the volume of a cylindrical water heater 1.4 feet in diameter and 4 feet tall (1 cubic foot=7.48 gallons)
The answer would be 46 gal.
Find the solution of the system of equations.
4x-10y=0
4x-9y=-2
Answer:
{x,y} = {-5,-2}
Step-by-step explanation:
Solving Right Triangles
Find all the missing measures.
HELP A HOMIE OUT
Answer:
21.908
Step-by-step explanation:
The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?
Answer: It’s 6 meters
Step-by-step explanation:
if we know the area and the length we need to divide the two to get the width.
78 divided by 13. = 6
Explanation please...........
Answer:
my school
Step-by-step explanation:
block me from sieng the image
Answer:
answer: Hi = 15
Step-by-step explanation:
the larger shape is the same as the smaller shape just flipped over and bigger of course so to find this out you have to take 2 simular angles and find out what multiplied by the small angle will get the big angle so I see angles gh and ba are simular I try 4.5 ÷ 1.5 = 3 so 3 is how much the shape is being multiplied by so bc is simular to hi so I do 5 x 3 = 15 and theres are answer 15 is the length of hi hope this helps you!
Hyde Middle School is painting a circle on their playground with a radius of 10 feet. What will be the total
area of the circle, in square feet?
Use T = 3.14, and round your answer to the nearest hundredth.
Answer:
62.8
Step-by-step explanation:
3.14 times 2 times 10
I hope this helps!