Answer:-2.5
Step-by-step explanation:
The slope is -2.5
Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly, write a function to model this situation. How much interest will she have paid after 12 years?
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.
Learn more about the compound interest here:
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WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set
Answer:
they need to save $630 in order to have enough for the trip
270 + 630 = $900
help me pls i need this answered
Answer:
[tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-3 \frac{3}{5}[/tex] ÷ [tex]2 \frac{7}{10}[/tex]
Convert both mixed numbers to an improper fraction. This can be done by multiplying the denominator by the "number" part of the mixed number, then adding the result to the numerator.
[tex]- \frac{18}{5}[/tex] ÷ [tex]\frac{27}{10}[/tex]
Now divide the fractions, to divide the fractions, one will find the reciprocal of the recond fractions, and then multiply it by the first fractions. Remember, the reciprocal of a fraction is when one switched the numerator and denominator of a fraction.
[tex]-\frac{18}{5} * \frac{10}{27}[/tex]
[tex]= -\frac{180}{135}[/tex]
Simplify;
= [tex]-\frac{4}{3}[/tex]
2x (x + 4) -12x
if x=-3
Answer:
x=-3
Step-by-step explanation:
2x (x + 4) -12x
2×-3(-3+4)-12×-3
-6(1)+36
30
Which two of the following numbers have the same value?
33 and 42
42 and 52
24 and 33
24 and 42
i'll try to mark brainliest for the first correct answer!!
Answer:
33 and 42
Step-by-step explanation:
the distance between -4,1 and -2,2
Answer:
✓32
or
4✓2
or
5.66
Step-by-step explanation:
That's the answer. Hope it helps
PLZ HELP WILL MAKR BRAINLIEST
Answer:
It will be 0.2
Step-by-step explanation:
Hope this Helped
A bus driver started her day with an empty bus. At her first stop she picked up
11 people. At her second stop she picked up 5 more people and let 7 people
get ofl. At her third stop she picked up 5 people and let 2 off. How many
people were on the bus as the driver left the third stop?
Answer:
12 people.
Step-by-step explanation:
Let's do this one at a time.
First stop:
0 + 11 = 11
Second stop:
11 + 5 = 16.
16 - 7 = 9.
Third stop:
9 + 5 = 14.
14 - 2 = 12.
There were 12 people on the bus after the driver left the third stop.
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1?
Answer:
The average rate of change of the function is: 0
Step-by-step explanation:
The function y = f(x) is graphed below.
From the graph it is clear that:
at x = -8, the value of f(-8) = -10
at x = -1, the value of f(-1) = -10
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
so
at x₁ = -8, f(x₁) = f(-8) = -10
at x₂ = -1, f(x₂) = f(-1) = -10
Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(-1) - f(-8) ] / [-1-(-8)]
= [-10 - (-10)] / [-1+8]
= [-10 + 10] / 7
= 0 / 7
= 0
Therefore, the average rate of change of the function is: 0
-10(x + 21) = -15x + 18
What value of x makes the equation true?
You can pack 6 cans in 1 box. Write a proportion to find the number of
cans you can pack in 12 boxes. Which choice sets up the proportion
correctly and has the correct solution?
Answer:
Step-by-step explanation:
You can fit 6 cans in a box. So now there are 12 boxes. Therefore you have to multiply 6 times 12 which should give you 72. You can fit 72 cans in 12 boxes total
HELP I NEED HELP ASAP
Anyone got the answer? Would be nice pls
Answer:
20 cm^3
Step-by-step explanation:
The volume of a rectangular prism is V=length*width*height. Therefore, to find the volume, plug in the values into the equation
V = (2/3)*5*6
V = 20 cm^3
in parallelogram DEFG if m< GDE=50° find m
Answer:
130°
Step-by-step explanation:
180-50=130°
20 POINTS PLZ HELP
4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.
Answer:
mmm... i think its 6-
Step-by-step explanation:
Several students in a class made the following statement. Decide whether you agree with the statement. If you disagree, change the statement to make it correct. A quadrilateral with congruent diagonals must be a rectangle. (ignore that one is already picked that was an accident)
Answer:
It's option c
Step-by-step explanation:
pl help it’s for a grade
Answer:
area of lot: (2×2+7×+6)-1624= 2×2+7×-1618
Step-by-step explanation:
lot: (2×+3)(xt2)
2×2+4×t3×t6
a: 2×2+7×+6ft 2
house: 58×28= 1,624
a: 1624 ft 2
The ratio of Sam's money to Buffy's is 1.2. If Sam has $3, how much money does Buffy have? Show your work please
The regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the
regular price. The sales tax rate is 6%. What is the final cost of the stereo system, after the
discount and including the tax? *
$229.62
$318.75
$341.25
$337.88
The final cost of the stereo system after the discount and including the tax is $337.88. The correct option is D.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the regular price. The sales tax rate is 6%.
The discounted price is calculated as,
Discounted Price = 375 x 0.85
Discounted Price = 318.75
The total price after sales tax is,
Total price = 318.75 x 1.06
Total price = $337.875
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Elle was asked to find the missing measure of an interior angle of a heptagon. A heptagon has angles x, 116 degrees, 115 degrees, 155 degrees, 138 degrees, 95 degrees, and 150 degrees. Elle’s work is shown below. Steps Elle’s Work Step 1 (n minus 2) 180 degrees = (7 minus 2) 180 degrees = 900 degrees Step 2 900 minus (116 + 115 + 155 + 138 + 150) Step 3 x = 226 degrees Where, if at all, did Elle first make a mistake finding the measure of an interior angle? step 1 step 2 step 3 Elle did not make a mistake.
Answer:
Step 2
Step-by-step explanation:
Answer:
Should be step 2!
Step-by-step explanation:
Please help due today
Answer:
160 - 2
120 - 1 1/2
240 - 3
Step-by-step explanation:
80 km driven every hour
Write an equation in point-slope form for the line that passes through (-4, 5) and has a slope of 1/2 .
Answer:
y=1/2x+7
Step-by-step explanation:
y-5=1/2(x-(-4))
y-5=1/2x+2
y=1/2x+7
5x^2-41x+8=0 please helpp
Answer:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
4
1
+
8
=
0
5x^{2}-41x+8=0
5x2−41x+8=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
4
1
b={\color{#e8710a}{-41}}
b=−41
=
8
c={\color{#129eaf}{8}}
c=8
=
−
(
−
4
1
)
±
(
−
4
1
)
2
−
4
⋅
5
⋅
8
√
2
⋅
5
2
Simplify
3
Separate the equations
4
Solve
Solution
=
8
=
1
5
PLEASE HURRY!!! PLEASE
Answer:
going horizontally, 15, 3, 9, then 1, 3, 6, then 20, then, 40, 60
Step-by-step explanation:
There are 60 bottles of juice in the grocery store of these 24 are apple what percent of the bottles are apple
Answer:
%2.5
Step-by-step explanation:
please hurry and answer correctly. fake answers will be reported
helpppppppppppppp-------
Answer:
7/10
Step-by-step explanation:
1/10 = 2/20
1/4 = 5/20
2/5 = 8/20
11/20 = 11/20
We can see that the next term is just 11/20 + 3/20, as 3/20 is added onto each of the next terms.
11/20 + 3/20 = 14/20, which can be simplified to 7/10.
Hope this helps!
The lowest point on the Earth's surface is in the Mariana Trench in the
Pacific Ocean. It has a depth of about 36,069 feet. Which is this depth
written in scientific notation?
A 36 x 103
B 3.6 x 104
C 3.6 x 105
D 0.36 x 105
PLEASE HELP MEEE!
Answer:
3.6069 × 104
Step-by-step explanation:
A school group rented a banquet room for $110. They also paid $15 for each person (p) at the banquet. The total bill was $1,460. Which equation models the total cost for the group to rent the room?
A-15 + 110p = 1,460
B-10 + 15p = 1,460
C-110(p + 15) = 1,460
D-15(p + 110) = 1,460
Answer:
10+15p =1460
Step-by-step explanation:
8/5 = ? Pls help this is my math
Answer:
I think that is it 1.6 if its division