Answer: $48,366.78
Step-by-step explanation:
3000(1+0.04/4) 4t
The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
Here P = $30,000
r = 4% = 0.04
n = 4
t = 12
The function of this situation:
[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]
Plug t = 12 in the above function.
[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]
A = $48,366.78
So compound interest CI = 48,366.78 - $30,000
CI = $18,366.78
Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.
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Sarah has $25 to spend at the grocery store. She spends $18.77. How
much money does Sarah have left?
Answer:
x=$75
Step-by-step explanation:
James has 13.7 ounces of trail mix. He shares the trail mix equally with his sister.
How much trail mix does each person get?
Answer:
6.85 ounces
Step-by-step explanation:
13.7/2people=6.85
What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6?
Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
(x, y) = (-1, -7)Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
(x, y) = (-1, -7)please help.. this is so difficult..
The Martinez family ate at a restaurant.
The cost of the meal was $34.50.
The sales tax was 6% of the cost of the meal.
They left a tip of 15% of the cost of the meal plus tax.
What was the total cost of the meal, tax, and tip?
Answer:
$42.06
Step-by-step explanation:
step 1: find the 6% of 34.50; by multiplying 34.50 x 0.06 ( 0.06 = 6/100 or 6%).
34.50 x 0.06 = 2.07
Step 2: 2.07 + 34.50 = 36.57 -----Total cost of meal + 6% tax.
Step 3: find 15% of 36.57
36.57 x 0.15 = 5.4855
Step 4: 36.57 + 5.49 (rounded because money only has two decimal places)
Answer:
$42.06
how do you find the x and y intercepts from a table
Carlos vendio su carro por unprecio en el cual perdia el 12% de 22000000¿en cuanto lo habia comprado
carlos vendio su carro por un precio en el cual perdia 12% del precio en que lo compro.si lo vendio a un precio de $22.000.000. en cuanto lo habria comprado
Responder:
$ 24640000
Explicación paso a paso:
Pérdida en venta = 12%
Monto de venta = $ 22,000,000
Dejar ; Importe de la compra = x
Monto de la compra :
(1 + porcentaje de pérdida) * monto de venta
(1 + 12%) * 22.000.000
(1 + 0,12) * 22 000 000
1,12 * 22 000 000
= 24640000
− 8/7 +(−1/2) reduced to simplest form
Answer:
simplified would be -23/14 if you wanted to answer this it would be either -1 9/14 or -1.64
Step-by-step explanation:
Help please 10 points
Answer: it's the third one and the first one
Step-by-step explanation:
4. The quadratic function f (x) = (x + 1)2 – 4 is shown on the graph below.
What is the equation for the axis of symmetry?
Answer:I DO NOT KNOW
Step-by-step explanation:FIND OUT YOURSELF LOL
(BRAINLIESTTTTT PLS ANSWERRRR DUE IN 5 MINS!!!!) Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10tins of cheese popcorn and 8tins of caramel popcorn for a total of $446. Cameron sold 22tinsof cheese popcorn and 11tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin of cheese popcorn and one tin of caramel popcorn. Show all your work.
one tin of cheese 20$ and one tin of Carmel 27$
How is the graph of y = - 4x2 – 5 different from the graph of y = -4x2?
A. It is shifted 5 unit(s) down.
C. It is shifted 5 unit(s) up.
B. It is shifted 5 unit(s) left.
D. It is shifted 5 unit(s) right.
Answer:
C. It is shifted 5 unit(s) up.
Step-by-step explanation:
The y-intercept of the first equation is –5. The y-intercept of the second equation is 0. This means that it moves up by 5 units.
Look at the image below for better understanding:
Apply the algorithm for dividing fractions. of 3/4 divided 1/5
Answer:
15/4
Step-by-step explanation:
Keep,Change, Flip
Answer:
15/4
Step-by-step explanation:
(3/4) / (1/5) = 3/4 * 5/1 = 3*5 / 4*1 = 15 / 4
Analyze the diagram below and complete the instructions that follow name to read lines in the diagram and appear to be SKEw
Answer:
the answer i think is ba and cb
Compare -4 and -9
Greater than or less than
twice a number x, minus 17
Answer:
2x - 7
Step-by-step explanation:
Twice a number x means x times 2, which can be written as 2x
Minus 17 from 2x
question 5. need asap please and thank you
Answer:
I believe changing -3/4 steepen the slope. For example, y=-1x+2
A flagpole that is 32 feet tall casts a 67-foot shadow. What is the angle, marked with an x on the diagram, that the sun hits the flagpole? Round to the nearest degree, and enter the number only.
Answer:
64
Step-by-step explanation:
❗️HELP ASAP❗️
Which pair of angles is congruent??
F. 21 and 22
G. 21 and 24
H. 24 and 23
I. 24 and 22
pls help! 16 points:)
Answer: 52 degrees
Step-by-step explanation:
most likley like if correct
7-4[3-(4y-5)]
distributive property
Answer: =16y−25
Step-by-step explanation:
Distribute:
=7+(−4)(3)+(−4)(−4y)+(−4)(5)
=7+−12+16y+−20
Combine Like Terms:
=7+−12+16y+−20
=(16y)+(7+−12+−20)
=16y+−25
What is the range of the function represented by the graph?
On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
{0, 1, 2, 3}
{1, 2, 3, 4}
1 less-than-or-equal-to y less-than-or-equal-to 4
0 less-than-or-equal-to x less-than-or-equal-to 3
Answer:
{1,2,3,4}
Step-by-step explanation:
cant be zero, also got it right on edge 2020
Answer:
{1,2,3,4}
Step-by-step explanation:
please help me with this problem been stuck on it for about 15 mins and getting stressed out
Step-by-step explanation:
[tex]given \: \\ ({a}^{5} )^{5} \\ = {a}^{5 \times 5} \\ = {a}^{25} \\ hope \: it \: will \: help[/tex]
Raul is flying a kite with an angle of elevation equal to 60° if the height of the kite is 300 feet then now long is the kite string.
Answer:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
its d
Find, to the nearest foot, the length of the diagonal of a square whose side is 10 feet.
Draw a square to help solve the problem. (Remember to round answer to the nearest
foot, no decimals)
I just need to make sure my answer is correct :)
Answer:
Its positive
Step-by-step explanation:
3x - 5 = -3
3x = 2
x = 2/3
2/3 is positive
what is the exact decimal equivalent of 7/16 SHOW YOUR WORK
1.473
0,4375
4.375
4.374
Which of the following could be the equation of the graph shown below?
Check all that apply.
A. y = -4x+ 2
B. 3x + 2y = 6
c. 2x - y = 7
OD y = 5
Answer:
A. y = -4x + 2 and B. 2x + 2y = 6
Step-by-step explanation:
A. y = -4x + 2 This is correct since the displayed picture shows a negative slope. Therefore, m is negative
B. 2x + 2y = 6 This is converted to y = -x +3 So, it is also correct
C. 2x - y = 7 This is converted to y = 2x-7 So, it is not correct
D. y = 5 Y value would have to always be at 5 So, it is not correct
Which of the following are equivalent to 80 1/2
Answer:
Sorry but what are the answer choices?
If anything just divide or multiply 80 1/2 by any number and it will give you something equivilent
Step-by-step explanation:
2√20 is the equivalent expression of the value [tex]80^\frac{1}{2}[/tex].
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is [tex]80^\frac{1}{2}[/tex]
We have to find the equivalent expression of [tex]80^\frac{1}{2}[/tex]
[tex]80^\frac{1}{2}[/tex] can be written in radical form which is √80
80 can be written as 4 times of 20
√4×20
The square root of 4 is 2
So 2√20
Hence, 2√20 is the equivalent expression of the value [tex]80^\frac{1}{2}[/tex].
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Pls i have less time Evaluate the expression for k = –4.
–6 + 21k =
Answer:
is -90
Step-by-step explanation:
−6+(21)(−4)
=−6+−84
=−90
2. Noah said, "I think this line is a good fit because it passes through the leftmost point and the rightmost point." Do
you agree?
Answer:
No I do not because I think the dots on each side are not equally split so it’s not a good fit
Step-by-step explanation:
