Answer:
3y+x=40
x=40-3y..........1
2x+1=y........2
subst. 2into1:
x=40-3(2x+1)
x=40-6x-3
7x=37
x=37/7
subst.x into2:
2(37/7)+1=y
y=81/7
APR of 0.995%. How much money would a $1000 investment be worth at the end of 5 years
Answer:
The amount in 5 years will be $1,050.75
Step-by-step explanation:
Here, we want to calculate the worth of the given amount of money in the next 5 years
We use the compound interest formula here;
A = P(1 + r/n)^nt
A is the amount after the given number of years
P is the amount invested which is $1,000
r is the rate which is 0.995% which is 0.995/100 = 0.00995
n is the number of times per year interest is compounded and that is 1
t is the number of years which is 5
substituting these values, we have
A = 1000( 1 + 0.00995/1)^5
A = 1000(1.00995)^5
A = $1,050.75
Which figure is a translation of figure 1?
Answer:
triangle 4.
Step-by-step explanation:
A translation only moves vertically or (and) horizontally our image.
This means that a translation does not change the size
A translation does not rotate the image.
Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).
Then the only option that seems correct is triangle 4
Answer: Which figure is a translation of figure 1? figure 4
Step-by-step explanation: correct on edge 2021
A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.
Answer:
A = 10W - W²
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Area of a rectangle =LW
L is the length
W is the width
Given
Perimeter = 20m
20 = 2 (L+W)
10 = L+W
L = 10 - W ....2
Substitute equation 2 into the formula for calculating the area
Recall that A = LW
A = (10-W)W
A = 10W - W²
Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²
Joseph, Maria and Rebecca each win a prize.
Their total prize money is $30.
Joseph wins 7/12 of the $30.
Maria wins 30% of the $30.
Rebecca wins the rest of the $30.
Calculate the amount each receives.
Answer:
Joseph: $ 17.5 ; Maria: $ 9 ; Rebecca: $ 3.5Step-by-step explanation:
Joseph: [tex]\frac7{12}\cdot30=\frac72\cdot5=\frac{35}2=\$\,17.5[/tex]
Maria: [tex]30\%\cdot30=0.3\cdot30=\$\,9[/tex]
Rebecca: 30 - 17.5 - 9 = $ 3.5
Enter your gross pay, taxes, and deductions
below. Press calculate when you're ready.
I need help please!!
Answer:
Gross pay: $1560
Tax: $294.37
Deductions: $0
It shows the grows pay at the top right, where it says "Gross Pay".It shows the tax taken near the bottom under the "tax" section.There are no deductions in this example, but it would be shown to the right of the "tax" section.The amount of required net pay is $1265.63.
What is net pay?
Too known as “net wages” or “net income,” net pay is the sum that remains after subtracting government wage assess, Medicare and Social Security charges, state and neighborhood wage charges, wellbeing and dental protections premiums, retirement commitments, commitments to adaptable investing accounts and other commitments from the individual’s net salary. The remaining cash, or net pay, are utilized by an representative to pay common living costs, counting lodging, nourishment and optional things.
Given that,
Gross pay = $1560
total taxes = $294.37
Therefore,
Net pay = gross pay - tax deductions
Hence,
Net pay = $1560 - $294.37
= $1265.63
Hence, Net pay is $1265.63.
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Ten times the square of a non zero number is equal to fifty times the number.
What is the number?
Answer:
5
Step-by-step explanation:
10x^2=50x
10x=50
x=5
Your parents purchased a used car for your 17th birthday, for $12,000. The car
depreciates in value by 14% each year. How much will your car be worth in 6 years?
Answer:
1,920 because when you figure out the percent of 1200 then you multiply it by 6 then subtract by 12000
PLZ HURRY WHAT IS 1+1
Answer:
2
Step-by-step explanation:
Answer:
2 is your answer!
Hope it helps!!!
help pls i need to knowewwwww
Answer:
radius is 6
diameter is 12
Step-by-step explanation:
to find radius you divide the diameter by 2
Find the volume of the cylinder . Round to the nearest tenth. r = 5 cm 5 cm V=[?]cm^ 3
Answer:
V = 392.70 cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
V = 22/7 * 5² * 5
V = 392.70 cm³
Answer: Acellus uses 3.14 for pi, so 5^2*5*3.14 is 392.5
Step-by-step explanation: 392.5
(PLS HELP ) Find the product of
(−3y+1)(4y2−y−7).
Answer: -12y²+7y²+20y-7
Step-by-step explanation:
Here, we need to use the concept of the FOIL method
First Outer Inner Last----------------------------------------------------------
Given
(-3y+1)(4y²-y-7)
Expand Parenthesis using FOIL
-12y³+3y²+21y+4y²-y-7
Put like terms together
-12y³+(3y²+4y²)+(21y-y)-7
Combine like terms together
-12y²+7y²+20y-7
Hope this helps!! :)
Please let me know if you have any questions
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find 0. round to the nearest degree. 15 4
Answer:
68.2
Step-by-step explanation:
You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).
5^2+x^2=14^2
25+x^2=196
x^2=196-25=171
x=13.0 (rounded)
Next, use one of sin or tan to find the missing angle.
Sin0=opposite/hypotenuse
Sin0=13/14
0=sin^-1(13/14)
0=68.213 (rounded)
The value of the angle asked is 69°.
Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,
We need to find the angle θ which is between the base and the hypotenuse,
To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).
The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.
In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.
Therefore, we can use the following formula:
cos(θ) = adjacent/hypotenuse
Plugging in the values we know:
cos(θ) = 5/14
To find the angle θ, we need to take the inverse cosine (arccos) of both sides:
θ = arccos(5/14)
θ = 69°
Hence the value of the angle asked is 69°.
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Select the statement that describes the following expression 6 x (2 + 7) − 9. (4 points)
Group of answer choices
6 times the sum of 2 and 7, then subtract 9
6 times the product of 2 and 7, then add 9
6 times the difference of 2 and 7, then subtract 9
6 times the sum of 2 and 7, then add 9
Answer:
Add all of them together
Step-by-step explanation:
You have to add the numbers and that gives you the sum
There are four blood types, and not all are equally likely
to be in blood banks. In a certain blood bank, 49% of
donations are type O blood, 27% of donations are type
A blood, 20% of donations are type B blood, and 4%
of donations are type AB blood. A blood bank wants to
know how many donations will be required, on
average, to achieve at least one of each of the blood
types.
is it appropriate to use the geometric distribution to calculate probabilities in the situation?
Answer:
D
Step-by-step explanation:
ed
It costs $10.99 per month for an online video streaming service. Jackie watched 28 videos in one month. What was the price per video? Round to the nearest hundredth.
Answer:
$0.39 per video
10.99÷28= 0.39
0.39×28=10.99
What is the simple interest earned on $2500.00 that earns 3.5% interest for 24 months?
Answer:
[tex]simple \: interest = si \\ si = \frac{p \times t \times r}{100} \\ = \frac{2500 \times 3.5 \times 1}{100} \\ = 87.5[/tex]
Find the Circumference
(I need to know how to show the work too)
HELP PLEASE
What is the volume of the prism? _____ in.3.
Answer:
V= 18 in^3
Step-by-step explanation:
Volume = length x width x height
V = 2 x 2 and 1/4 x 4
V = 8 x 2 and 1/4
V = 32/4 x 9/4
V = 18 in^3
Answer:
18in^3
Step-by-step explanation:
2in x2 1/4 in x4 in=
2x9/4x4=18in^3
You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar. You use 16 cups of flour. How much sugar do you need?
Answer:
9
Step-by-step explanation:
Tell me if you want me to explain in the comments
There are 12 cups of sugar.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar.
Now,
Let the number of cups of sugar for 16 cups of flour = x
So, By definition of proportion we get;
⇒ 4 / 3 = 16 / x
Solve for x as;
⇒ 16 / x = 4 / 3
⇒ 16 × 3 / 4 = x
⇒ 4 × 3 = x
⇒ x = 12
Thus, There are 12 cups of sugar.
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Solve for x ????????????
Answer:
x = 8°
Step-by-step explanation:
since the angles are vertical angles, they are equal
3 + 14x = 115
14x = 112
x = 8
12. Find the height of the cone shown below if the volume is 3.6 cubic inches. Round your answer to the nearest tenth.
Answer:
h = 1.34 inches
Step-by-step explanation:
Given that,
The volume of cone, V = 3.6 cubic inches
Let the radius of cone is, r = 1.6 inches
We need to find the height of the cone. The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 3.6}{\pi \times 1.6^2}[/tex]
h = 1.34 inches
So, the height of the cone is equal to 1.34 inches.
please help solve this
Could someone please help me with this?
A regular child admission ticket to the San Diego Zoo is $52. If you have a special pass, you can get a 20% discount on the original ticket price. What is the discounted amount of the ticket when you use the discount?
a pizzeria charges eight dollars for a large cheese pizza, plus 2 dollars for each topping. the total cost for a large pizza is given by the equation c equals 2t+8, where t is the number of toppings. what is the slope? what does the slope represent? what is the y-intercept? what does the y-intercept represent? list all 6 ordered for 0-5 toppings.
Step-by-step explanation:
the slope is 2 (the cost for each topping)
the y-int is 8,, it represents the initial $8 for the pizza
and i dnt understand wht the last sentence is asking for
A $60 video game is on sale for 30% off! How much money will you SAVE ?
Answer:
YOu will save 18 $
Step-by-step explanation:
Answer:
The game would be 42 dollars
Step-by-step explanation:
The students in Elizabeth's grade voted to select a guest speaker. 27 students voted for a
famous athlete. If there are 45 students in Elizabeth's grade, what percentage of the students
voted for the athlete?
Write your answer using a percent sign (%).
Answer:
60%
Step-by-step explanation:
I made it a fraction. multiplied by 2.22222 (45×2.22222=100) and in the numerator I got 60
 Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
Definetly Not
Step-by-step explanation:
The three angles of those 2 triangles are not equivalent, which makes them in congruent.
PLS HELP ME!!!! I WILL GIVE BRAINLIEST!!!!
How cold you find the combined area of all faces of a three dimensional shape? Give an example of why that would be a good measurement to know.
Answer:
Step-by-step explanation:
Width, Length, and Height being combine it by multiplying.
For a regular prism (where all the sides are the same) calculate the area of one of the sides and multiply by the total number of sides. For irregular prisms (with different sides) calculate the area of each side. Add your two answers together (ends × sides) to find the total surface area of the prism.
If you created a stack of 15 pennies taped together, do you think the probability of getting a heads on a toss of the stack would be different than for a stack of 10 pennies?
No it wouldnt becuase if theyre taped together they both will still have a 50 percent chance of landing on heads
Step-by-step explanation:
Emily has 4 gallons of water. Ryan has 12 quarts of water. How many more cups of water does Emily have than Ryan?
Answer:
16
Step-by-step explanation:
12 quats into cups = 48 cups
4 gallons into cups = 64 cups
64-48= 16 cups more than Ryan
