Answer:
=21.29%(Approx).
Step-by-step explanation:
We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period.
a.
468,000=136,000*(1.08)^n
(468,000/136,000)=(1.08)^n
Taking log on both sides;
log (468,000/136,000)=n*log 1.08
n=log (468,000/136,000)/log 1.08
=16.06 years(Approx).
b.
475,000=10,000*(1+r/100)^20
(475,000/10,000)^(1/20)=(1+r/100)
(1+r/100)=1.2129
r=1.2129-1
=21.29%(Approx).
The diameter of a circle is 4 cm. Find its area to the nearest tenth.
Answer:
10 cm²
Step-by-step explanation:
The radius of this circle is half the diameter hence is 2cm
Area of a circle is pi multiplied by the squared radius, i.e
Area = πr²
= 22/7 × 2 × 2
= 12.57 cm²
The nearest 10th is 10
HELP PLEASEEEEE!!!!
Which graph shows the solution to this system of inequalities? y>-1/3x+1 y>2x-3
Answer:
Graph A.
Step-by-step explanation:
We don't even have to analyze the inequalities. It tells us that y is supposed to be bigger than something and that y is supposed to be bigger than something else. That means that for both lines, the shaded region must be upwards. The only graph that conforms to that is graph A.
Fill in the missing operator where the blank is.
18 _ (-20)= -2
Answer:
26
Step-by-step explanation:
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What is the median of the first half of the data? (first quartile)
Answer:
$273
Step-by-step explanation:
1. Find the first half of the list (There are 8 numbers in the list, so the first four)
2. List them from least to greatest ($196, $248, $298, $379)
3. find the middle of the numbers ($248, $298)
4. Since there are 2, we find the mean of the 2 numbers ($273)
5. So the answer is $273
The length of a rectangle is 3 cm less than its width what are the dimensions of the rectangle if its area is 270 cm²
Given:
The length of a rectangle is 3 cm less than its width.
The area of the rectangle is 270 cm².
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then,
[tex]\text{Length}=x-3[/tex]
Area of a rectangle is:
[tex]\text{Area}=\text{Length}\times \text{width}[/tex]
[tex]270=(x-3)(x)[/tex]
[tex]270=x^2-3x[/tex]
[tex]0=x^2-3x-270[/tex]
Splitting the middle term, we get
[tex]x^2-18x+15x-270=0[/tex]
[tex]x(x-18)+15(x-18)=0[/tex]
[tex](x-18)(x+15)=0[/tex]
[tex]x=18,-15[/tex]
Width of the rectangle cannot be negative. So, the only value of x is 18.
[tex]Width=18[/tex]
[tex]Length=18-3[/tex]
[tex]Length=15[/tex]
Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.
A cabin in the shape of a regular hexagonal pyramid has a slant height of 10 feet and a base edge length of 15 feet. Paint for the cabin costs $0.50 per square foot. How much does it cost to paint the lateral faces of the cabin?
Answer:
if noblepenguin sees this, your a horrible mod. stop deleting my answers
Step-by-step explanation:
Abby wants to ride her bicycle more than 70 miles this week. On Monday, Abby rode her bicycle for 25 miles. Abby plants to ride the same number of miles in the next six days. Write an inequality that can be used to determine the number of miles, m, that Abby will ride her bicycle each day to achieve her goal.
Answer:
25d > 70
Step-by-step explanation:
Abby wants to ride her bicycle more than 70 miles this week.
More than = >
On Monday, Abby rode her bicycle for 25 miles. Abby plants to ride the same number of miles in the next six days.
Let the number of days of week she would ride her bike = d
On Monday = 25 miles
And the rest of the week = The same = 25 miles
The inequality is written as:
25d > 70
cual es la raiz de 28
Answer:
5.29150262213
Step-by-step explanation:
I hope this answer has helped you
I have 5 paper clips, 8 push-pins and 12 erasers in my bag. Assuming that the odds for selecting paper clips, push-pins and erasers is the same, what is the probability that the item I pull out of the bag is NOT an eraser?
Answer:
the probability is 13/25
Step-by-step explanation:
5+8 = 13 and there are 12 erasers, 12 + 13 = 25. you have a 13/25 chance of not picking an eraser.
HELP! What is the greatest common factor of 20a2b2 and 50b3?
Correct answer gets marked brainlist!! :)
Answer:
X=6
Step-by-step explanation:
To find the area of a triangle, you have to divide the multiplication by 2. So first, you would find 6 times what is 18. 3. But since thats the FULL answer, you multiply 3 by 2. 3 times 2 is 6! So x=6!
hope this helped you!
What’s the answer???
9. Your parents give you $1000 on
your 16" birthday. You put it into a
savings account with 3% annual
interest. How much money will you
have if you don't touch it until you
turn 122
Starting Amount:
Growth Rate
Equation:
Answer:
At the beginning of 5th grade, Stephen was 48 inches tall. At the beginning of 8th grade he was 65 inches tall.
What is the percent of increase of Stephen's height?
A. 17.00%
B. 26. 15%
C. 35.42%
D. 73.85%
Answer:
35.42%
Step-by-step explanation:
Answer:
C. 35.42%
Step-by-step explanation:
65 - 48 = 17
Since he grew 17 inches, you must figure out what percentage 17 is of 48.
17/48 = 1/100 (represents decimal)
Cross multiply: 17 ⋅ 100 = 1700 and 48 ⋅ 1 = 48
Divide: 1700/ 48
= 35.41666666666667
Round to the nearest hundredth:
= 35.42
I need help I'm confused
Answer:
it's a square so all 4 sides of perimeter equal 12 while every inside line is 6 sqrt/2
Step-by-step explanation:
there's triangles in the square that are symmetrical so each triangle has the same sides so using pythagorean theorem 6sqrt/2 ^2 + 6sqrt/2 ^2 = sqrt/C and C=12
What is the definition of similarity? *
A. If two figures have the same angles, then they are similar.
B. If two figures have proportional side lengths, then they are similar.
C. If there is a sequence of transformations taking one figure to another, then they are similar.
D. If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.
Answer:
D) If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.
Mock Starr help thanks
IuibAuihiuhiugtdtrdkkknswer:
Step-by-step explanation:
Which two expressions are
equivalent?
A. (7.x) - 12 and (x-7) - 12
B. (x + 4) = 10 and x + (4 = 10)
C. 30. (x - 4) and 30 · (4 - x)
D. 18 - (8 + x) and (8 + x - 18)
HELP!!!
Answer:
B
Step-by-step explanation:
I don't have an explanation but i know its right!!!
What is the sum of 39 + 5 + 768 + 3668?
Answer:
4480
Step-by-step explanation:
Answer:
4,480
Step-by-step explanation:
39+5=44
44+768=812
812+3668=4,480
Hope this helps :)
Is 1+4(3x-10)-12x equivalent to -39? Explain.
Step-by-step explanation:
1. Review a given problem : [tex]1+4(3x-10)-12x[/tex]
2.distributive property: [tex]4\left(3x-10\right) = 12x-40[/tex]
[tex]=1+12x-40-12x[/tex]
3. Simplify: [tex]1+12x-40-12x[/tex]
[tex]-39 +12x-12x[/tex]
[tex]=-39[/tex]
–4x + 6x2 + 5x
A. 7x3
B. 6x2 + 9x
C. 6x2 – 9x
D. 6x2 + x
Answer:
D
Step-by-step explanation:
Because you are simplifying the equation
Need help plzzzzz helpppp 20 points and if right I will mark brainlest
Answer:
Hi! Okay so i tried to find all the x and y intercepts that matched with (-4,7) and the closest one is C I'm not 100% sure its correct but its the only one that makes the most sense, its coordonated are (-8,4) i'm so sorry if u get it wrong
Step-by-step explanation:
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☆Don't worry i wont ask for brainliest this time☆
Have a nice day!!!!!!!
- Brooklynn Deka
Please help me with the correct answer
Answer:
10
Step-by-step explanation:
c² = a² + b²
= 8² + 6²
= 64 + 36
= 100
c² = 100
c = 10
Write and equation for a parabola
Answer:
(y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2
Step-by-step explanation:
Common memory sense
Examine the diagram, where points B, C, D, and Elie on circle A. Angle BCD measures 57°. В. C A 570 D 2019 Strong Mind. Created using GeoGebra. What is mZBED?
Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.
∠BCD and ∠BED are subtended by the same arc BD.
Therefore, based on the inscribed angle theorem, we have:
m∠BCD = m∠BED = 57°.
m∠BED = 57°
Learn more about the inscribed angle theorem on:
https://brainly.com/question/3538263
#SPJ2
You start at (3, 0). You move right 1 unit and left 2 units. Where do you end?
Answer:
2,0
Step-by-step explanation:
can someome help me
Answer:
KM = 30
Sorry if this is not what you where looking for you did not describe exactly what you wanted
answer number 2 pls
Answer:
H
Step-by-step explanation:
Given
4(15 - 7) ← apply the distributive law
= 15(4) - 7(4) → H
$12 for 5 boxes of cereal (unit rate)
Answer: $2.40
Step-by-step explanation: 12/5 = 2.4
(PLEASE HELP) Find the difference of
(p+7)−(6p2+13p).
Answer:
-(6p^2+12p-7)
Step-by-step explanation:
p+7-6p^2-13p
-12p-6p^2+7
-(6p^2+12p-7)
