Answer:
6.5 years
Step-by-step explanation:
Simple interest formula: [tex]A=P(1+rt)[/tex]
where:
[tex]A[/tex] = final amount[tex]P[/tex] = principal amount[tex]r[/tex] = annual interest rate (as a decimal)[tex]t[/tex] = time (in years)Given:
[tex]A = 7500 + 1462.50 = 8962.50[/tex][tex]P = 7500[/tex][tex]r = 3\% = 0.03[/tex][tex]\implies 8962.5=7500(1+0.03t)[/tex]
[tex]\implies t=\dfrac{100}{3}\left(\dfrac{8962.5}{7500}-1\right)[/tex]
[tex]\implies t=6.5[/tex]
Therefore, she borrowed the money for 6.5 years
If r = 6 units and h = 9 units, what is the volume of the cylinder shown above? Use 3.14 for .
A.
1,017.36 cubic units
B.
1,526.04 cubic units
C.
452.16 cubic units
D.
339.12 cubic units
Answer:
A) 1017.36 in³
Step-by-step explanation:
volume of a cylinder = [tex]\pi r^2h[/tex]
(where r is the radius and h is the height)
Given:
r = 6h = 9[tex]\pi =3.14[/tex]Substituting given values in the equation:
[tex]\implies V = 3.14 \cdot 6^2 \cdot 9[/tex]
⇒ V = 1017.36 in³
What is the slope of the line that passes through the points (5,8) and (11,5)? Write your answer in simplest form.
Answer:
-1/2.
Step-by-step explanation:
slope of a line is (y2-y1)/(x2-x1). Plug in points (5-8)/(11-5). That gives -3/6. Reduce the fraction by 2, so -1/2 is the answer.
Please help!!
If one pound is equal to 453.592 grams, how many grams are there in one ounce?
1. 100
2. 10
3. 28.3495
4. 283.495
Help me on this pleaseee
Answer:
Bolded below are the answers
Step-by-step explanation:
4568 ÷ 8
(4000 ÷ 8) + (560 ÷ 8) + (8 ÷ 8)
500 + 70 + 1
571
Hope this helps!
Answer:
4568 ÷ 8
= (4,000 ÷ 8) + (560 ÷ 8) + (8÷8)
= 500 + 70 + 1
= 571
Step-by-step explanation:
HELP ASAP WITH THIS ILL MARK BRAINLIEST FOR THE RIGHT ANSWER
Answer:
y−3=−13(x−1), which we can rearrange to get y=−13x+103.
Hope it helps!!!!!!!!brainliest pls!!!!!!!!!!pls help asapppppppp
Answer:
Step-by-step explanation:
(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}
Answer:
Step-by-step explanation:
the answer is 1
Sheree drew this model of a tent. It is in the shape of a triangular prism with bases that are isoceles triangles. How many square inches of fabric are needed to make this model tent? A triangular prism. The triangular bases have a base of 8 inches, height of 3 inches, and side lengths of 5 inches. The height of the prism is 12 inches. 144 square inches 240 square inches 264 square inches 274 square inches.
Answer:
144
Step-by-step explanation:
I did it before
Answer:
a
Step-by-step explanation:
Need help!
Find the exact volume of the cylinder.
Last one, for today!
Thanks! :)
[tex] \mathcal \pink{GIVEN:}[/tex]
Radius = 3 mHeight = 7 m[tex] \mathcal \purple{TO \: FIND:}[/tex]
Volume = ?[tex] \mathcal \blue{CALCULATION:}[/tex]
[tex] \qquad{ \sf \: volume = \pi{r}^{2}h }[/tex]
Where,
r is radiush is height[tex] \qquad{ \tt\nrightarrow \: \frac{22}{7} \times {3}^{2} \times 7}[/tex]
[tex] \qquad{ \tt\nrightarrow \: \frac{22}{ \cancel7} \times {3}^{2} \times \cancel7}[/tex]
[tex] \qquad{ \tt\nrightarrow \: 22 \times {3}^{2} }[/tex]
[tex] \qquad{ \tt\nrightarrow \: 22 \times 9 }[/tex]
[tex] \qquad{ \boxed{ \tt\Rrightarrow \: 198\: {m}^{3} }}[/tex]
➪ Henceforth, The volume of the cylinder is 198 m³...
It is -12. 5°c outside when the temp starts increasing by 2. 5°c each hour. How long will it take for the temp to reach-5°c
Answer:
3 hours
Step-by-step explanation:
12.5/2.5 = 5
then convert it to negative
7. Amauri went to the winter festival. It cost her
$3 to get into the festival plus an additional
$1.25 for each booth she visited. If she spent a
total of $11.75, how many booths did she visit?
Answer:
she visited 7 booths
Step-by-step explanation:
the total was 11.75 and entry fee was 3 dollars so that leaves $8.75 to spend on booths, and since it's $1.25 per booth all you need to do is divide $8.75 by $1.25 which give you 7
19,476 to the nearest ten thousand.
Answer:
19,000
Step-by-step explanation:
you don't round up because the next number is lower than 5
Find the area for number 5.
Answer:
The area of the pentagon is 249 square inches.
Step-by-step explanation:
Given, s = 12in; and a = 8.3, The formula to find the area of a pentagon with apothem is, Area of pentagon = 1/2 × perimeter × apothem. So, let us find the perimeter of the pentagon. Perimeter of the pentagon = 5 × side length.
perimeter = 5 x 12
= 60in.
Area = 1/2 × 60×8.3
= 249in².
Find the average value of the function h(x, y) = x3y2 on the region bounded by f(x) = 2x 1, g(x) = −x2 − 2, x = 0, and x = 1
The average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] is approximately 3.1496.
How to find the average of a two-variable function
The average is defined by the following double integral equation:
[tex]\bar h = \frac{\int\limits^1_0 {\int\limits^{f(x)}_{g(x)} {x^{3}\cdot y^{2}} \, dy } \, dx }{(1-0)\cdot [y(1)-y(0)]}[/tex] (1)
If we know that [tex]g(x) = -x^{2}-2[/tex] and [tex]f(x) = 2\cdot x - 1[/tex], then the double average is:
[tex]h = \frac{\frac{1}{3} \int\limits^{1}_{0} {x^{3}\cdot [f(x)-g(x)]^{3}} \, dx }{(1-0)\cdot [f(1)-f(0)-g(1)+g(0)]}[/tex]
[tex]h = \frac{\frac{1}{3}\int\limits^{1}_{0} {x^{3}\cdot [2\cdot x-1+x^{2}+2]^{3}} \, dx }{1-1+3-2}[/tex]
[tex]h = \frac{1}{3}\int\limits^{1}_{0} {(2\cdot x^{2}-x+x^{3}+2\cdot x)^{3}} \, dx }[/tex]
The average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] is approximately 3.1496. [tex]\blacksquare[/tex]
Remarks
The statement presents mistakes and is poorly formatted:
Find the average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] on the region bounded by [tex]f(x) = 2\cdot x - 1[/tex], [tex]g(x) = -x^{2}-2[/tex], [tex]x = 0[/tex] and [tex]x = 1[/tex].
To learn more on averages, we kindly invite to check this verified question: https://brainly.com/question/2426692
One year, the population of a city was 225,000. Several years later it was 236,250. Find the percent increase.
Based on the information given the percentage increase is 5%.
Percentage increaseUsing this formula
Percentage increase=Population several years later-Population for year/Population for one year×100%
Let plug in the formula
Percentage increase=236,360-225,000/225,000×100
Percentage increase=5%
Inconclusion the percentage increase is 5%.
Learn more about percentage increase here:https://brainly.com/question/11360390
If you hold a rubber ball in your hand and let it go, it begins to move. Describe the motion of the ball and identify the force that causes it to move.
Lily began a plan for this proof.
Since ∠1 and ∠2 are supplementary and ∠1 and ∠3 are supplementary, then m∠1+m∠2=180° and m∠1+m∠3=180°. If she can get m∠2 and m∠3 to both equal the same expression, she can use the transitive property of equality to set them equal to each other.
How can Lily get m∠2 and m∠3 to both equal the same expression?
Answer:
Step-by-step explanation:
Answer:
she can subtract m < 1 from both sides of m < 1 + m < 2 = 180* and m < 1 + m < 3 = 180*
Step-by-step explanation:
IMAGINE MATH!1
The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper construction. True or false?
Answer:
The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper construction.True or false?TrueStep-by-step explanation:
#BrainliestBunchAnswer:
True is the answer.Step-by-step explanation:
#CarryonlearningAnswer now I will give brainless
Pls answer both of the question
Answer:
A and D
Step-by-step explanation:
On a recent survey, 60% of those surveyed indicated that they preferred hamburgers over pizza.
If 540 people preferred pizza, how many people preferred hamburgers?
Answer:
810
Step-by-step explanation:
0.4x=0.6
x=1.5
540*1.5=810
The answer is 810.
Three friends share some mangoes as follows;Fred receives 2 out of 5 the total, and the reminder is shared between yaw and kwame in the ratio 3:5. How many mangoes did kwame receive if yaw's share was 84 mangoes.
Given that the ratio between Yaw and Kwame is 3:5
So, [tex]\rm{\blue{Yaw:Kwame} = 3:5 = 84:n}[/tex]
[tex]\rm{\red{n = 84 \times 5 \div 3} = 140 \: mangoes }[/tex]
Hence, the answer is [tex]\rm{\blue{140} \: mangoes}[/tex]
Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4
y=
Answer:
y= -1/4x + 3
Step-by-step explanation:
y-y1 = m(x-x1)
(-8 {x1}, -5 {y1}, -1/4 [m] )
We'll then replace the letters with the available figures.
y-[-5] = -1/4 (x-[-8])
We are made to know that minus + minus= plus
Minus + plus= Minus
Minus x minus = plus
minus x plus = minus
Therefore, the mathematical setting of this question becomes,
y+5 = -1/4 (x+8)
Multiply everything in the bracket with the outside value
-1/4 x X = -1/4x
-1/4 x 8 = -2
The mathematical setting then becomes,
y+5 = -1/4x + -2 (Note: plus + minus = minus)
so, it becomes
y+5 = -1/4x - 2
The equation is supposed to look like this, y= mx + b
Therefore we add +5 to both sides to cancel out
y+5 = -1/4x - 2
+5 +5
+5 cancels out +5 which makes the setting,
y= -1/4x - 2 +5 (-2+5 goes around to become 5-2= 3)
The expression now looks like this
y= -1/4x +3 which is the final answer!
[tex]y= -1/4x + 3[/tex]
A) Linear
B) Quadratic
C) Exponential
D) Functional
Brian is 6 feet tall and casts a 4 foot shadow. At the same time, a nearby flag pole casts a 20 foot shadow.
How tall is the flag pole?
since brians shadow is 2/3rds his height
4 / 6 is 2 /3
20 / 30 is 2 / 3 too so flag pole must be 30 feet tall
just solve this cs i need help thx
Answer:
I believe its C if im wrong delete my question so other people have a chance
Step-by-step explanation:
Central Angles
Inscribed Angles
Vertex is in the center
of the circle
Vertex is on the circle
2 x Angle = Arc
Angle = 1/2 Arc
Angle = Arc
Answer:
here is the answer
Step-by-step explanation:
Central Angle: An angle whose vertex is the center of a circle. The measure of a central angle is equal to the measure of its intercepted arc. ... Inscribed Angle: An angle whose vertex is a point on a circle and whose sides contain chords.
15 points
Given that the area of a circle is 175πcm², what is
the circumference? Round the nearest hundredth
if necessary.
Answer:
area 175 rounded 46.89
Step-by-step explanation:
i did it
what percent of 50 is 8
Answer:
8/50 × 100 = 16%
Answer:
Step-by-step explanation:
What is the solution p - 6 > 8
Answer:
not sure what the EXACT ANSWER IS but it's any number that's GREATER than 8, not including 8, but any number above it.
Step-by-step explanation:
Hope this somewhat helps, have a great day!!
Answer:
are you joking dude
Step-by-step explanation:
p>14
omg my 2 year old could-
Kelly bought 1 gallon of milk. If she has 1 cup of milk every day, how many days will 1 gallon of milk last?
Answer: 16 days
Step-by-step explanation:
1 gal = 16 cups
if she's taking 1 cup a day it will last 16 days