[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$99.931\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (99.931)(0.14)(5)\implies I\approx 70[/tex]
4) The lower cable meets the tree at a height of 12 feet and extends out 32 feet from the base of the tree. If the tria
similar, how tall is the tree?
56 ft
The tree is ft tall.
Question 4
Victoria wants to purchase a tablet. She has $130 to spend. She finds one that regularly sells for $139.99 and is on sale of 15% off. Sales tax is 7%. How much will Victoria pay for the tablet? Show your work and record your answer in the red box.
Answer:
$127.32
Step-by-step explanation:
Selling price= $139.99
Sale discount= 15% = $139.99 * 0.15 = $21
Discounted price= $139.99 - $21 = $118.99
Sales tax added= 7% = $118.99 * 0.07 = $8.33
Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left
Find the volume of the solid.
Solid is a substance that can be measured. The required volume of a solid is 90 cubic cm
Volume of solidsThe formula for calculating the volume of a solid ie expressed as:
V = lwh
l is the length
w is the width
h is the height
For the given figure;
Volume = (11 * 2 * 3) + (2 * 3 * 4)
Volume = 66 + 24
Volume = 90 square cm
The required volume of a solid is 90 cubic cm
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1.1 Penny specializes in making tablecloths. She buys fabric in rolls. The length of each roll is 100 and the standard width is 1 m. She cuts the roll into pieces of 1,5 m in length and then puts binding material at the edge of each tablecloth. A packet of binding material contains 24 pieces, each 5 cm long. Each tablecloth has 8 circular designs. Each circular design prece has a diameter of 14 cm
1.2.1 Determine the perimeter of one tablecloth
1.2.2 How many pieces of binding material required for 1 roll of fabric?
1.2.4 Calculate the area of the tablecloth that is not covered with the circular designs.
Area of a circle =
3 1/3 divided by 1 1/5
Answer:
Step-by-step explanation:
3 1/3 is 10/3. 1 1/5 is 6/5. KCF, Keep Change Flip.
10/3 divided by 6/5 becomes 10/3 multiplied by 5/6, or 50/18.
50/18 becomes 25/9, or 2 7/9.
5b) Find the surface area of the triangular prism. Round your answer to two decimal places.
Answer:
693.19 m^2.
Step-by-step explanation:
This consists of 2 triangles and 3 rectangles,
Surface area = 2 * 1/2 * 3 * 9 + 9*31 + 3*31 + 9.49*31
= 27 + 279 + 93 + 294.19
= 693.19 m^2
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was 516 with a margin of error of 20. Write a confidence interval for the true mean SAT score of the graduating high school seniors.
A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)
What is a confidence interval?A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.
Mean score ± margin of error
Margin of Error = 20
Mean SAT score = 516
Hence,the confidence interval will be:-
= 516 ± 20
Lower boundary = 516 - 20 = 496
Upper boundary = 516 + 20 = 536
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3 What is the solution to ža>-16? o a O a>-21 a 21 O a
Answer: The answer is the first option: [tex]a > -21\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] × [tex]a > -16[/tex]
[tex]\frac{3}{4}a\cdot \frac{4}{3} > -16\cdot \frac{4}{3}[/tex]
[tex]\frac{3}{4}\cdot \frac{4}{3}a > -16\cdot \frac{4}{3}[/tex]
[tex]a > -16\cdot \frac{4}{3}[/tex]
[tex]a > \frac{-16\cdot 4}{3}[/tex]
[tex]a > \frac{-64}{3}[/tex]
josiah is running a marathon which is 26 1/5 miles Long. At four 1/4 miles from the start, he meets his wife, who is cheering him on. 7 1/2 miles further down the marathon course, he sees some Friends from his running club volunteering at a water stop. Once he passes his friends, how many more miles does Josiah have left to run?
Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Josiah is running a marathon which is 26 1/5 miles long.
At four 1/4 miles from the start, he meets his wife, who is cheering him on.
7 1/2 miles further down the marathon course.
26 1/5 = 131/ 5
7 1/2 = 15/2
The marathon run by Josiah
= 1/4 + 15/2
= 15.25
The miles Josiah has left to run
= 131/ 5 - 15.25
= 10.95
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Find the volume of a sphere with a surface area of 23041 in2.
Answer:V≈3.29×105in³
Step-by-step explanation:im smart
The sales tax in some places in Texas is 8.25%. Which function
represents the cost of purchasing x dollars of products, including tax?
Taxes usually increase how much you pay from the purchase price. To find the tax charged on the purchase, multiply the tax rate by the purchase.
$28.38 × 0.0825 = $2.34
The tax charged is $2.34
Pls, look at the picture for the question.
Answer:
B
Step-by-step explanation:
surface area = area of base + area of lateral faces
Area of base:
A = lw
A = 4(4)
A = 16
Area of Lateral faces:
A = 1/2 bh
A = 1/2(5)(4)
A = 1/2(20)
A = 10
There are for lateral faces.
s = 16 + 10 + 10 + 10 + 10
What is the linear
function?
x=4, 5, 6, 7
Y = -24, 30, 36, -42
Answer:
[tex]y = -6x[/tex]
Step-by-step explanation:
We can see that with every [tex]x[/tex] value that increases, the [tex]y[/tex] value decreases by [tex]-6[/tex]. Thus the slope is [tex]-6[/tex], which would make the equation: [tex]y = -6x[/tex].
Rick recorded the information shown below. What type of graph would be the most appropriate for Rick to use
A Line graph
Sure hope this helps you
Your Assignment
210 students were asked whether they want to go to a water park or a roller skating rink for a class party.
50 students are girls who want to go to the water park.
45 students are girls who want to go skating.
60 students are boys who want to go to the water park.
Water park
Skating
Total
Boys
Girls
Total
Answer the questions to analyze the data.
1. Use the given information to fill in the two-way table.
The radius of a circle is 1 meter. What is the circle's area?
r=1 m
Use 3.14 for л.
square meters
Answer:
A= 3.14
Step-by-step explanation:
The formula for finding the area of a circle is A= π r²
A= 3.14*1²
The residents of a city voted on whether to raise property taxes. The ratio of yes votes 5 to 8 no votes was
to
. If there were 7761
total votes, how many yes votes were there?
Answer:
2985 yes votes.
Explanation:
Yes : No
5x : 8x
Total Ratio: 5x + 8x = 13x
Solve for x
13(x) = 7761
divide both sides by 13
x = 597
Yes-Votes: 5(x) = 5(597) = 2985
No-Votes: 8(x) = 8(597) = 4776
If f is translated 4 units down to create g, which function represents g? A. g(x) = f(x) + 4 B. g(x) = f(x) - 4
Answer:
g(x) = f(x) - 4.
Step-by-step explanation:
4 down = -4
g(x) = f(x) - 4.
Line j is parallel to line k. Find the m
Answer:
- 8.14 = m = slope
Step-by-step explanation:
We know from the diagram that 8x-7 + 5x+18 = 180 so x = 13
so 8x -7 = 97
slope = tan 97 = -8.14
-. The side views of two different ramps are shown below. Which is a true
tatement about the slope of the ramps?
The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.
What is the Slope?Slope = gradient = rise / run = vertical distance / horizontal distance.
Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.
Slope of the side view of ramp B = rise / run = 14 / 21 = 2/3.
The slope of A = slope of B = 2/3
The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.
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HELP PLEASEEE ASAPPPPPPPP
11 BAP-Z
Question
Find the volume of the solid figure.
1 cm
3 cm
6 cm
2 cm
3 cm
8 cm
9 cm
Answer:
168 [tex]cm^{3}[/tex]
Step-by-step explanation:
Start by finding the whole prism's volume. 9 x 3 x 8 = 216 Then find the volume of the missing part. 8 x 6 x 1 = 48. Subtract the missing volume from the whole volume. 216 - 48 = 168
Three trends each have a balance of $5,000 on their credit cards with a 25%APR. They've
decided that they will not make any other purchases on the cards until they pay of the debt
and make varying amounts of monthly paymentes
• Sharon can only make the credit card minimum payment, $150 per month
• Ceollia can set aside $400 per month to pay back her dett
• Alexander can pay $800 per month for his credit card
After 5 months, how much will each person have paid in interest so far and how large will
their remaining balance be? Use the formulas below to calculate their interest and balance
for each month
Hint Credit card interest is typically compounded daily so n=365Time here is in years, so
make sure you use a fraction for your t value. Need to show monthly interest and balance paid monthly for first 5 months on each person.
here i hope this exaple helps but for the time being while i solve it heres this example
if you currently owe $500 on your credit card throughout the month and your current APR is 17.99%, you can calculate your monthly interest rate by dividing the 17.99% by 12, which is approximately 1.49%. Then multiply $500 x 0.0149 for an amount of $7.45 each month.
Help me answer this question :((((
Answer:
97.5
Step-by-step explanation:
75,85,90,105,120,150
90 and 105 are the middle, and median means the middle, but you can only have one answer.
90+105=195
195÷2=97.5
97.5 is the middle of all these numbers
On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park
and then 2.51 miles to the library. On Sunday, Finley rode the bus 2.12 miles to thi
art museum. What is the total number of miles Finley rode the bus on Saturday
and Sunday?
The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles
Calculating distanceFrom the question, we are to determine the total distance travelled by Finley on Saturday and Sunday
From the given information,
On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library
Total distance travelled on Saturday = 3.35 miles + 2.51 miles
Total distance travelled on Saturday = 5.86 miles
Also,
On Sunday, Finley rode the bus 2.12 miles to the art museum
Total distance travelled on Sunday = 2.12 miles
∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles
Total distance travelled on Saturday and Sunday = 7.98 miles
Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.
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Madison is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with three equal-sized sections labeled Walk, Run, Stop and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?
Answer:
12.
Step-by-step explanation:
There are 3 * 4 = 12 possible outcomes
for example
Walk / Red
Walk/Green
Walk/Blue
Walk/Orange
- and there are 4 similar outcomes for Run and Stop.
Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5
Answer:
p=13.5
Step-by-step explanation:
know: complementary angles add to 90
(2p+9) +4p =90
6p +9 =90
6p= 81
p= 81/6 = 13.5
Find the sum of the first 14 terms of the finite geometric series given as:
0.5+ (-1) +2+...
The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
How to determine the sum of the series?The series is given as:
0.5+ (-1) +2+...
The above series is a geometric series, with the following parameters:
First term, a = 0.5Common ratio, r = -2Number of terms, n = 14The sum of the first 14 terms is calculated using:
[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]
So, we have:
[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]
Evaluate
[tex]S_{14}= -2730.5[/tex]
Hence, the sum of the series is -2730.5
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help me plsssssssssssssssssssss
Answer:
can i please have somepoints
Step-by-step explanation:
i need to get an answer to a question and if i don't i might fail a really hard test
Answer:
19/29 probability of bieng an only child
Step-by-step explanation:
What is the first step you would take to solve the equation ?
Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
To solve an equation the first step is to rearrange the equation such that like terms are together.
Hence, the first step to solving an equation is to rearrange the like terms.
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