Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.
How to calculate simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.
then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
The principal amount (P)= $700
The interest rate(R) = 13%
The period of investment (T) = 1 year
Simple interest
= P×T×R/100
= 700×T×13/100
= 9100/100
= $91
Therefore, the total amount she will receive at the end of a year
= 700 + 91
= $791
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Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.
4+3÷3(67)-5×8
What is the answer
Find the area of the figure. Use 3.14 as π.
area triangle:
b×h/2
= 11 in×10 in/2
=55 in²
area half-circle:
pi×r² /2
= 3.14×5in² /2
=78.5in² /2
=39.25 in²
Total area: area triangle+ area half-circle
= 55 in²+39.25 in²
=94.25 in²
Select the correct answer.
What is the range of the function shown on the graph?
у
1
6
2-
4
-8
-6
x
х
-2
2
8
-21
64
8
The range of the function shown on the graph is 20≤y≤60
What is a function?A relation is a function if it has only One y-value for each x-value.
What can go into a function is called the Domain.
What may possibly come out of a function is called the Codomain.
What actually comes out of a function is called the Range.
Range is all the possible values of 'y'.
When we observe the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60).
Therefore, the range of the function shown on the graph is 20≤y≤60
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What is the range of the function in the graph?
. 1≤x≤6
B. 20≤y≤60
C. 20≤x≤60
D. 1≤y≤60
What pair of factors of -28 has a sum of -3
Answer:
4 and -7
Step-by-step explanation:
Factors of -28: - 1, 1, - 2, 2, -4,4 ,-7,7,-14,14,-28,28
Factors with a sum of -3 = 4 and -7.
what's 2 to the -3rd power
Juan has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $265.36.
He buys 2 bicycle reflectors for $13.61 each and a pair of bike gloves for $37.11.
He plans to spend some or all of the money he has left to buy new biking outfits for $54.87 each.
What is the greatest number of outfits Juan can buy with the money that's left over?
Answer:
Juan can buy 6 outfits with the money that's left over.
Step-by-step explanation:
Take $640-$265.36-$13.61-$37.11 and then divide
the answer, $332.92 by $54.87.
Juan spent a total of $316.08 on the bicycle, reflectors, and gloves. With the remaining $323.92, he can buy a maximum of 6 biking outfits priced at $54.87 each.
Given that,
Juan has $640 to spend at a bicycle store for new gear and biking outfits.
He buys a new bicycle for $265.36.
He buys 2 bicycle reflectors for $13.61 each.
He buys a pair of bike gloves for $37.11.
To determine the greatest number of outfits Juan can buy with the money he has left,
Calculate the remaining amount after purchasing the bicycle, reflectors, and gloves.
Juan's initial budget is $640.
After buying the bicycle for $265.36, the remaining amount is,
$640 - $265.36 = $374.64.
Next, he buys 2 bicycle reflectors for $13.61 each, which is a total of
2 x $13.61 = $27.22.
Subtracting this amount from the remaining budget, we have
$374.64 - $27.22 = $347.42.
Additionally, he purchases a pair of bike gloves for $37.11, leaving him with $347.42 - $37.11 = $310.31.
Finally, dividing the remaining budget by the cost of each biking outfit, which is $54.87,
Then Juan can buy a maximum of $310.31 / $54.87 ≈ 6 outfits.
Therefore, the greatest number of biking outfits Juan can buy with the money left over is 6.
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The graphs below have the same shape. What is the equation of the blue graph? G(x) =
A cylinder has volume 45 pie and radius 3. What is its height?
Answer:
5 units
Step-by-step explanation:
The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.
⇒ πr²h = Volume of cylinder
⇒ (π)(3²)(h) = 45π
Now, simplify the equation to evaluate the area of the cylinder.
⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)
⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units
how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent
Answer: F = 661.56
Step-by-step explanation: interest formula: F = Pe^(rt)
F = future value
P = present value = 500
r = interest rate = 0.04
t = years = 7
F = 500e^(0.04 * 7)
Analyze the diagram below and answer the question that follows.
What is the value of cosA in the triangle above?
A. cosA = 0.5
B. cosA = 1
C. cosA ≈ 0.707
D. cannot be determined without side lengths
Answer:
C
Step-by-step explanation:
the cos of an angle of 45° is equal to √2/2~=0,7071
Do you want the full explanation?
1. what can you say about the sum of the measures of <1 and <3?
Statement.
Reason.
i really need help
[tex]\huge\tt \underline{Question}[/tex]
1. what can you say about the sum of the measures of <1 and <3?[tex]\huge\tt\underline{Answer}[/tex]
[tex]\tt{Statements:}[/tex]
[tex]m < 1 + m < 3 = 90[/tex][tex]\tt{Reasons:}[/tex]
Definition of perpendicularity[tex] \\ \\ [/tex]
see the picture above
= "i hope it's help"
WRITE INEQUALITY AND SOLVE• Lamar weighs 250 pounds. If he loses 10 pounds
and then 2 pounds per week after that, how many
weeks will it take him to weigh less than 175 pounds?
Answer:
40 weeks
Step-by-step explanation:
2 x 40 = 80
240-80=160
so for him to get under 175 it could be 40
i am so sorry if this is inccorect.
Find the third side, round the nearest 10th
Answer:
11.9
Step-by-step explanation:
Pythagorean theorem:
[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)
[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]
Answer:
11.9
Step-by-step explanation:
This is a right triangle so I can solve this with the pythagorean theorem.
Set up the equation 22²+x²=25² x would be the third side
Simplify, 484+x²=625
Subtract from both sides 484-484+x²=625-484
x²=141
Find the square root of 141 to get x
The square root of 141 is approximately 11.9 rounded to the nearest tenth.
What us the diameter of a hemisphere with a volume of 5403ft³, to the nearest tenth of a foot?
Answer:
Volume of a sphere is 4/3πr^3
Determine r for the radius and multiply by 2 for diameter
INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. How many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet
Answer:
101.8 lb
Step-by-step explanation:
1760 sq ft are covered by 40 lb
4480 sq ft are covered by x
1760/40 = 4480/x
1760x = 40 × 4480
x = 179,200/1760
x = 101.818181...
Answer: 101.8 lb
Simplify: [(13 + 8) ÷ 3] − 4 =
Answer:
3
Step-by-step explanation:
First you do 13 + 8
13 + 8 = 21
Then you divide by 3
21 divided by 3 is 7
Finally you subtract 4
7 - 4 = 3
Hope this helps!!
Answer:
3
________________________________________________________
SolveWhen doing problems, remember PEMDAS, the order of operations:
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo by the list from top to bottom, and prioritize the higher-up orders first.
Start with 13 + 8
[tex]13 + 8 = 21[/tex]
Next, divide by 3
[tex]21 / 3 = 7[/tex]
Lastly, subtract by 4
[tex]7 - 4 = 3[/tex]
________________________________________________________
Questions?Ask me in the comments box, please.
pls help ill kiss u
Write a recursive sequence that represents the sequence defined by the following
explicit formula:
an=-5(3)n+1
Answer:
a1= -45
an= -5 ⋅ 3^n+1
Step-by-step explanation:
Complete the table and then graph the function.
y = 5x
Answer:
Coordinates: (0,0) ; (1,5) ; (2,10)
Step-by-step explanation:
x | y
0 0
1 5
2 10
Coordinates: (0,0) ; (1,5) ; (2,10)
This should be a straight line that is going diagonally with a positive slope.
Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)
315 m²
area of rec + area of rec + area of rec + area of triangle
⇒ length + width + length + width + length + width + 1/2 * base * height
⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5
⇒ 90 + 30 + 81 + 114
⇒ 315 m²
Answer:
315 m²
Step-by-step explanation:
As this figure may seem complicated, we can split it into four separate figures.
Area
Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)60 + 15 x 9 + 90 + 6 x 560 + 135 + 90 + 30180 + 135315 m²Write a two-column proof on a space provided
Answer:
Step-by-step explanation:
Use the calculator for these calculations. Round
your answer to the nearest thousandth, if
necessary:
18*(27 + 36/3)
(21+13/74-18*3)*10=
√3/2=
√281^2-160^2=
2^10-2^9=
√8*√9-7=
Answer:
the answer is 3.36000 approximated to the nearest thousandth
Answer:
18 x (27 + 36/3) = 378
(21 + 13/74 - 18 x3 ) x 10 = 17
sqrt. 281^2 - 160^2 = 231
2^10 - 2^9 = 512
sqrt. 8 x sqrt. 9 - 7 = 4
Step-by-step explanation:
sorry for being late to answer. these are correct on edge.
Two person Pratham and Roshan are 64 km apart. If they walk in opposite direction then they will meet in 4 hours and in the same direction they will meet in 16 hours. Find their separate velocity.
Using the relation between velocity, distance and time, it is found that:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:
[tex]v_1 + v_2 = \frac{64}{4}[/tex]
[tex]v_1 + v_2 = 16[/tex]
[tex]v_1 = 16 - v_2[/tex]
In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:
[tex]v_1 - v_2 = \frac{64}{16}[/tex]
[tex]v_1 - v_2 = 4[/tex]
Since [tex]v_1 = 16 - v_2[/tex]:
[tex]16 - v_2 - v_2 = 4[/tex]
2v2 = 12.
v2 = 6.
v1 = 16 - 6 = 10 km/h.
Hence:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
please answer quickly!! what is the exact value of x and y? please leave an answer if you’re going to comment!! (i’ve posted this 3 times)
To solve this problem
⇒ need to use the special right triangle theorem
⇒ 30-60-90 triangle theorem (look at diagram attached for the property)
(we can use this theorem because the square on one of the angles indicates that the angle is 90 degrees. The other angle is indicated as 60 degrees. All the angles of a triangle should add up to 180, so the last angle is 30 degrees)Using the theorem:
the side facing opposite the 60-degree angle is equal ⇒ [tex]x\sqrt{3}[/tex][tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]
the side facing opposite the 90-degree angle is twice the value of x[tex]y = 2x = 2 * 17 =34[/tex]
Answers:
x = 17 and y = 34
Hope that helps!
Two sides of a triangle are 8 inches and 12 inches long each. Which of the following could be the length of the third side that would form a triangle?
Answer: All except 3 in.
Step-by-step explanation:
Two shorter sides of a triangle are equal to or bigger than the longest side. So the answer is all of them except 3 inches.
A pharmacist orders medications for a total of $6,439.65.a 6 44% discount is given if payment is made within
15 days, and a 2.5% discount is given if payment is made within 30 days. how much money can be saved by paying in 15 days instead of 30 days?
Answer:
2,672.45475 (round if needed)
Step-by-step explanation:
44 percent to a decimal is 0.44
2.5 percent to a decimal is 0.025
6,439.65 × 0.44 = 2833.446 (within 15 days)
6,439.65 × 0.025 = 160.99125 (within 30 days)
2833.446 - 160.99125 = 2,672.45475
A substance requires 310 J of heat to raise the temperature from 19
°C to 42 °C.. If the mass of the substance is 20 g, what is the specific
heat of the substance?
Answer:
.674 j / (g-C)
Step-by-step explanation:
Spec heat = heat required to raise 1 gram of substance 1 degree celsius
Spec heat units : j / (gm-C)
soooo 310 j / (20g * (42-19)C = .674
What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?
Answer:
The answer is 24 cm.
Step-by-step explanation:
Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
Square root of 100 = c
10 = c.
Hope this helps!
i really need the help with this multiple choice question for geometry.
Answer:
A. 50°
Step-by-step explanation:
The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.
∠ACB = 180° -AB
∠ACB = 180° -130°
∠ACB = 50°
Data collected from a survey of American teenagers aged 13 to 17
was used to estimate that 29% of teens believe in ghosts. This
estimate was based on data from 510 American teenagers. What is
the population that people carrying out the survey were interested
in?
O All people in the United States.
The 510 teens that were surveyed.
O All American teens who are between the ages of 13 and 17.
o The 29% of the teens surveyed who said they believe in ghosts.
Using sampling concepts, it is found that the population of interest is given by:
All American teens who are between the ages of 13 and 17.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
In this problem, a sample of American teenagers aged 13 to 17 was taken, hence all American teenagers aged 13 to 17 is the population of interest.
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