Answer:
$30
Step-by-step explanation:
2000 x .015 = 30
The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]
For this case, we're specified that:
Initial amount = P = $2000Interest rate 1.5% annually (compound interest), or R = 1.5Time for which interest will be compounded = 12 months = 1 year = T (converted time to year as interest is being compounded annually).Thus, we get the amount of interest as:
[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]
Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
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If two lines are perpendicular, what must be true about the slopes of the two lines. Select all that apply.
.
slopes are the same
Slopes are reciprocals
Slope are whole values
Slopes are opposites (one positive and one negative)
Answer:
Concept: Linear Systems
Those that are parallel have equal slope, contrary those that are parallel have reciprocal. Hope this helps!determine the equation of the line
Answer:
y=5x-12
Step-by-step explanation:
the slope is 5 and y int. is -12
What does it mean to have diagonals bisect each other?
_____________________
A. They meet in the middle, cutting each other in half
B. The full diagonal line is congruent to the other diagonal line
C. The angles are congruent
D. That go across each other
Answer:
I think your answer would be A
Step-by-step explanation:
Your social security number?
A) continuous
B) discrete
C)categorical
what is the area if b=16mm and h=12mm
Answer: 96
Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)
so 1/2 (16)(12)
= 96
Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax and explain your reasoning. *
Answer:
$42Step-by-step explanation:
By definition, Markup is the difference between a product's selling price and cost as a percentage of the cost.
For example, if a product sells for $125 and costs $100, the additional price increase is ($125 – $100) / $100) x 100 = 25%.
Given data
firstly let us solve for 40% of $30
=40/100*30
=0.4*30
=$12
therefore the sale price will be the markup rate plus the initial price
Hence the you will have to pay 12+30=$42
At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollar sand cents?
Answer:
$8.96
Step-by-step explanation:
Sorry if its to late
Distance between two places is 400 miles. The scale of the map is 1
in:200 miles. What is the distance between these two places in The Map
Answer:
2 in
Step-by-step explanation:
if 200 miles = 1 in
400 miles = 400 miles x 1 in
200 miles
= 2in
2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.
Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
5/8 divided by 1 1/3? In fraction form
Answer:
15/32
Step-by-step explanation:
15/32 is the fraction form of the statement 5/8 divided by 1 1/3.
To divide 5/8 by 1 1/3, we first need to convert the mixed number 1 1/3 to an improper fraction.
1 1/3 can be written as (3/3 + 1/3), which simplifies to 4/3.
Now, we can rewrite the division as the multiplication of the dividend by the reciprocal of the divisor:
(5/8) * (3/4)
Multiplying the numerators and denominators:
(5 * 3) / (8 * 4) = 15/32
Therefore, 5/8 divided by 1 1/3 in fraction form is equal to 15/32.
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Estimate and then solve 8,784 ÷ 61 = ___. answers: 133 134 143 144 I WILL MARK U BRAINLEIST IF ITS RIGHT
Answer:
The answer is 144
Step-by-step explanation:
Answer:
Ummm...
8,784/61=
144, D ??y = 4x 2 is shifted 5 units to the right
Answer:4
Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.
Answer:
y= 4(x-5) 2
Step-by-step explanation:
It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
Answer:
y = -2/3x + 300
Step-by-step explanation:
Since the line is linear, we can find the equation of the line in y=mx+b form.
First, you have to find the slope using the slope formula. Pick two points from the graph and plug it into the equation. It doesn't matter which ones; you will get the right answer regardless. I picked the points (0, 300) and (450, 0).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{300 -0 }{0 -450 }\\m=\frac{300}{-450} \\m=-\frac{2}{3}[/tex]
You now have slope (m). You have to find the y-intercept (b) next. The y-intercept is the point where the line crosses the y-axis. For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.
Since you have m and b, you can plug the values into y=mx+b.
y = mx + b
y = -2/3x + 300
The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.
Use the equation p=b-3 to find the value of p when b = 8
Answer:
5
Step-by-step explanation:
p=(8)-3
p=5
Answer:
p=8-3
p=5
Step-by-step explanation:
Charlie can spend up to 10$ on lunch. He wants to buy a turkey sandwich, a bottle of soda,
and x pounds of macaroni. If a turkey sandwich cost $3.75, a bottle of soda cost $2.25, and
macaroni costs $2 per pound, find the range of pounds of macaroni that Charlie can buy.
Answer:
he can buy 2 pounds of macaroni
Step-by-step explanation:
first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy
Answer:
Charlie can buy 1 or 2 pounds of macaroni
Step-by-step explanation
If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.
hope this helped
1 A high school talent show lasted a total of t minutes. There were 2 intermissions that were each the length of 8 the talent show. Which function can be used to find the number of minutes the talent show lasted, not including intermissions?
Answer:
I think f(t)=1/4t
Step-by-step explanation:
Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
What is a function ?function is a relation from a set to another set provided that each element of first set is related to a unique element of another set .
Here given that total time is t minutes
And time of intermission is t/8 minutes
And there are total 2 intermissions
Hence function to find the number of minutes the talent show lasted, not including intermissions can be defined as
f(t)= total time - 2(time of intermission)
[tex]f(t) = t- 2\times \frac{t}{8}\\\\f(t)=t-\fract1}{4}\\\\f(t)=\frac{3t}{4}[/tex]
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
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Cindy has a picture that is 3 inches wide and 4 inches long. She wants to enlarge it so that it is 12 inches long. How wide will the picture be?
Answer:
9 inches wide
Step-by-step explanation:
What we know:
Cindy has a 3-inch by 4-inch picture.
She wants to enlarge that picture so the length is 12 inches.
It's 4 inches long in the original, and 12 inches in the scale.
Divide 12 by 4 to get a scale factor of 3.
Multiply 3 by 3 (essentially 3^2) to get 9 inches as the width.
Solve for x.
(x + 13) ft
24 ft
Answer:
x = 9.
Step-by-step explanation:
If you meant (x + 13) = 24, then we first must subtract 24 by 13.
24 - 13 = 9
Now, check your work by replacing the "x" with 9.
(9+ 13) = 24
24 = 24 <----- This is a true statement.
Therefore, x = 9.
Hope this helps! :D
Solve for X, please help me.
Answer:
9+12=21
21+2=33
23+3=26
Step-by-step explanation:
the answer is 7
The diameter of a circle measures 14 m. What is the circumference of the circle?
Use 3.14 for n, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
The circumference is either pi*d or 2 pi r
Use pi*d
3.14 * 14 = 43.96
Answer:
43.96 m
Step-by-step explanation:
[tex]C = \pi \: d = 3.14 \times 14 = 43.96 \: m[/tex]
16. Rosa deposited $500 in a savings account with a SIMPLE interest rate of 3% per year. If she made
no other deposits or withdrawals, how much interest would she earn after 2 years? *
(5 Points)
$1.50
$15.00
$3.00
$30.00
I’ll mark you brainlist I’ll mark you brainlist
Answer:
-2
Step-by-step explanation:
:)
Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+8y=-16
Step-by-step explanation:
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password -1234
what’s the slope of the line?
Answer:
(0,0)
Step-by-step explanation:
Pls help, my moms gonna tell if i fail
Answer:
0 and 3, I think those are the answers cause they make the most sense
Step-by-step explanation:
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
Answer:
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?Step-by-step explanation:
Answer:
g
Step-by-step explanation:
Brainlest if correct
480/____=80
what does ____=???
Given the function, f(x)= 1/2x − 4, evaluate f(2).
Answer:
-3
Step-by-step explanation:
1/2x2=1 1-4=-3