Answer:
6561
Step-by-step explanation:
Simplifying 9⁴ gives 6561
You can multiply exponents to get certain values, so it can also be expressed as:
[tex](9^{2})^2[/tex]
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:
brainly.com/question/26457073
#SPJ2
Determine weather 6y+ 13y is equivalent to 9(y+2)
Answer:
mnljkhjhkbj/n/
Step-by-step explanation:
HELP I NEED HELP ASAP
-10(x + 21) = -15x + 18
What value of x makes the equation true?
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.
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
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:
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
Pls help me I rlly need help!!!!!!!
Answer:
The last one!!!
Step-by-step explanation:
Count the squares
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:
in parallelogram DEFG if m< GDE=50° find m
Answer:
130°
Step-by-step explanation:
180-50=130°
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:
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:
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
Please help due today
Answer:
160 - 2
120 - 1 1/2
240 - 3
Step-by-step explanation:
80 km driven every hour
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
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!
Pls answer for me btw you are very smart
Answer:899,396
Step-by-step explanation:
Five friends went to the amusement park and spent a total of $165. Each person had to buy an admission ticket, then each decided to
spend $8 on lunch. What was the cost of each admission ticket?
$31.40
Step-by-step explanation:
165-7=157÷5=31.40
please hurry and answer correctly. fake answers will be reported
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
MAY YOU PLEASE HELP ME
Answer: y=20x+10
Step-by-step explanation:mark me brainlest please
Help me please!
If you get it right, I’ll will brainliest u!!
Answer: c
Step-by-step explanation:
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
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
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:
PLZ HELP WILL MAKR BRAINLIEST
Answer:
It will be 0.2
Step-by-step explanation:
Hope this Helped
How many real solutions does the equation v3x – 1 = 21 – 5 have?
Answer: this solution cant be solved
Step-by-step explanation:
Here is a list of numbers 6,7,2,4,6,9,5,3,3
Answer:
mean = 5.375, median = 5.5, mode = 3, 6, range = 6
Step-by-step explanation:
this is the only thing i could think of that i could use those numbers for
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: