Using simple interest, it is found that the monthly payments are of $739.00.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem:
The loan is of A(0) = 85000.The rate is of r = 0.071.The term is for 30 years, hence t = 30.Then, the total amount will be of:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]A(t) = 85000[1 + 30(0.071)][/tex]
[tex]A(t) = 266050[/tex]
In 30 x 12 = 360 monthly payments, hence:
266050/360 = 739.
The monthly payments are of $739.00.
More can be learned about simple interest at https://brainly.com/question/25296782
Juan has a mass of 50 kg. If he is running at a velocity of 2 m/s, how much kinetic energy does he have?
Answer:
100 J
Step-by-step explanation:
Kinetic energy is jointly proportional to mass and the square of the velocity.
KE = 1/2mv²
KE = 1/2(50 kg)(2 m/s)² = 100 J
Juan has a kinetic energy of 100 joules.
dont delete the answer because i have 20 min left
Answer:
8=4
16=12
24=20
Explanation:
Easy way to do it is just to work backwords.
put the number in the 'r' column in the equation,
Minus 4 from it rather than add 4, this will give you S
An $80 printer is selling for 37.5% off. Find the final price of the printer if sales tax is 9%
somebody answer this pls
Answer:
1. 1 hour and 25 minutes
2. 30 minutes
3. 1 hour and 33 minutes
4. 2 hours and 13 minutes
5. 1 hour and 51 minutes
Complete the slope-intercept form of the linear equation that represents the
relationship in the table.
Answer:
[tex]\mathsf{y=3x-4}[/tex]
Step-by-step explanation:
[tex]\mathsf{point \ slope \ form \ of \ linear \ equation: \ \ y-y_1=m(x-x_1)}[/tex]
[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]
(where m is the slope and [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line)
Given:
[tex]\mathsf{(x_1,y_1)=(1,-1)}[/tex][tex]\mathsf{(x_2,y_2)=(4,8)}[/tex][tex]\implies \mathsf{slope=\dfrac{8--1}{4-1}}=3}[/tex]
Substuting m = 3 and point (1, -1) into the point-slope form of a linear equation:
[tex]\implies \mathsf{y-(-1)=3(x-1)}[/tex]
[tex]\implies \mathsf{y=3x-4}[/tex]
How do you write 132% as a fraction or mixed number?
Answer:
66/50
Step-by-step explanation:
132% is 132/100
reduce to lowest term and it becomes 66/50
What is the length of CG?
Answer:
b. 19
Step-by-step explanation:
by similarity between two triangles BFG~BAC
measure of angle BFG = measure of angle BAC by using corresponding angles in parallelism measure of angle BGF = measure of angle BCA by using corresponding angles in parallelism the third angle commonso BF÷FA=BG÷GC63÷21=57÷GCtherefore GC=19Use the remainder theorem to find P(-2) for P(x)=-2x^4-2x^3+5x^2-3
Answer:
1
Step-by-step explanation:
When using the remainder theorem, all you do is plug in -2.
P(-2) = -2(-2)^4-2(-2)^3+5(-2)^2-3
= -2(16) - 2(-8) + 5(4) - 3
= -32 + 16 + 20 - 3
= 1
Answer:
P' (x) = -8x³ -6x² +10x
Step-by-step explanation:
jacob wanted to bake some cookies the recipe called for 3 cups of flour but only measuring cup was 3/4 of a cup he decided to fill his measuring cup with flour four times because 3/4 is less than one cup Will he have exactly 3 cups of flour if he does that if not what does he need to do to get exactly 3 cups
Answer:
he will have exactly 3 cups
Step-by-step explanation:
1. 3/4 X 4/1 = 12/4
2. 12/4 = 3/1 = 3
Please help explanation if possible
what is the solution for 96 = 12d?
d = 8
Divide both sides of the equation by the same term
Answer:
d = 8
Step-by-step explanation:
Step 1: Divide both sides by 12.
[tex]12d/12 = 96/12[/tex] [tex]d=8[/tex]Therefore, the solution is 8.
What is the average of -2.5, 5.2, 1.7, and -0.8.
Answer:
0.9
Step-by-step explanation:
-2.5 + 5.2 + 1.7 + -0.8 = 3.6
Divide by the total count of numbers
= 0.9
Hope this helps!
Answer:
0.9
Step-by-step explanation:
To find the average or mean, you have to add up all the given numbers in your data set, then divide by how many numbers there are.
1. Add up -2.5 + 5.2 + 1.7 + (-0.8)=
(negative times positive equals negative)
simplify the signs
simplified answer= -2.5+5.2+1.7-0.8
Which equals
3.62. divide by how many numbers there are
So take 3.6 and divide it by 4.
why the number 4?
well, there are 4 numbers in the data set. so when you calculate the average, the formula would be to add up all the numbers in the data set and divide by how many numbers are in the data set and there are 4 numbers in the data set.
So... 3.6 divided by 4
is...
0.9The average is 0.9
Find the area of the rectangle.
Answer:
2 in
Step-by-step explanation:
help pleeaseeee
Round to the nearest ten, hundred, or thousand:
1.) Round to the nearest thousand 6,471.
Estimate each sum, difference, or product by first rounding to the nearest hundred.
2.) 41,348 + 19,749 3.) 38,652 - 14,549 4.) 396 • 748
Solve the equations:
5.) t + 28 = 54 6.) 28x = 168 7.) 27 = y + 12
Simplify:
8.) 10 • 24 - (18 + 2) ÷ 4 - (9 - 7) 9.) (80 ÷ 16) x [(20 - 56 ÷ 8) + (8 • 8 - 5 • 5)]
Evaluate the exponential notation:
10.) 5 to the power of 4
11.) 6 cubed
Sort out:
12.) Natasha has $196 and wants to buy a computer for $698. How much more do you need?
13.) Toni has $406 in her checking account. He is paid $78 for a part-time job and deposits it into his checking account. What is the balance in your account now?
14.) A beverage company packed 228 cans of soda in 12-can cases. How many cartons were filled?
Answer:
Step-by-step explanation:
Round to the nearest ten, hundred, or thousand:
1. 6,471 to need to the nearest thousand is 6,000
Estimate each sum, difference, or product by first rounding to the nearest hundred.
2. 41,348 + 19,749 ==> 41,300 + 19,700 = 61,000
3. 38,652 - 14,549 ==> 38,700 - 14,500 = 24,200
4. 396 • 748 ==> 400 • 700 = 280,000
Solve the equations:
5. t + 28 = 5
- 28 -28
t = 26
6. 28x = 168
/28 /28
x = 6
7. 27 = y + 12
-12 - 12
15 = y or y = 15
Simplify:
8. 10 • 24 - (18 + 2) ÷ 4 - (9 - 7)
10 • 24 - 20 ÷ 4 - 2
240 - 5 - 2
240 - 7
233
9. (80 ÷ 16) x [(20 - 56 ÷ 8) + (8 • 8 - 5 • 5)]
(80 ÷ 16) x [(20 - 56 ÷ 8) + (64 - 25)]
5 x [(20 - 7) + (64 - 25)]
5 x [13 + 39]
5 x 52
260
Evaluate the exponential notation:
10. [tex]5^4[/tex]
11. [tex]6^3[/tex]
Sort out:
12. Natasha has $196 and wants to buy a computer for $698. How much more do you need?
698 - 196 = $502 <== final answer
13. Toni has $406 in her checking account. He is paid $78 for a part-time job and deposits it into his checking account. What is the balance in your account now?
406 + 78 = $484 <== final answer
14. A beverage company packed 228 cans of soda in 12-can cases. How many cartons were filled?
228/12 = 19 cartons filled <== final answer
Hope this helps!
1. 6,471 rounded to the nearest thousand is 6,000.
2. 41,348 rounded to the nearest hundred is 41,300, and 19,749 rounded to the nearest hundred is 19,700. Their sum rounded to the nearest hundred is 61,000.
3. 38,652 rounded to the nearest hundred is 38,600, and 14,549 rounded to the nearest hundred is 14,500. Their difference rounded to the nearest hundred is 24,100.
4. 396 rounded to the nearest hundred is 400, and 748 rounded to the nearest hundred is 700. Their product rounded to the nearest hundred is 280,000.
5. Subtracting 28 from both sides of the equation, we get t = 26.
6. Dividing both sides of the equation by 28, we get x = 6.
7. Subtracting 12 from both sides of the equation, we get y = 15.
8. 10 • 24 = 240. 18 + 2 = 20. 20 ÷ 4 = 5. 9 - 7 = 2. Therefore, the expression simplifies to:
240 - 5 - 2 = 233.
9. First, we need to evaluate the expressions inside the parentheses:
56 ÷ 8 = 7
8 • 8 = 64
5 • 5 = 25
20 - 7 = 13
64 - 25 = 39
Substituting these values into the expression, we get:
80 ÷ 16 x (13 + 39) = 5 x 52 = 260.
10. 5 to the power of 4 is 5 x 5 x 5 x 5, which equals 625.
11. 6 cubed is 6 x 6 x 6, which equals 216.
12. Natasha has $196 and needs $698 for a computer. To find out how much more she needs, we subtract the amount she has from the amount she needs:
698 - 196 = 502.
Natasha needs $502 more to buy the computer.
13. Toni's new balance in his checking account is the sum of his original balance and his new deposit:
406 + 78 = 484.
His new balance is $484.
14. The beverage company packed 228 cans of soda in 12-can cases. To find out how many cartons were filled, we divide the total number of cans by the number of cans in each case:
228 ÷ 12 = 19.
The company filled 19 cartons.
#CARRYONLEARNINGsolve. 3 is less than y minus 2
Answer:
[tex]\bold{3 < (y - 2)} \\ \bold{y > 3 + 2} \\\bold{ y > 5}[/tex]
hope helpful~
Answer:
3 is less than y minus 2 => 3 < y - 2
Step-by-step explanation:
If an expression has an equal sign, it is called an equation.
If it has less than or greater than sign, then it is called inequality.
It is also an inequality if it has greater than or equal to or less than or equal to signs. ( ≥, ≤).
Now y minus 2 means
y - 2
Now it says 3 is less than (y-2)
So we get
3 < y - 2
What is blank + 1/16 equals 3/2
Answer:
1 7/16
Step-by-step explanation:
Let that blank be x
x + 1/16 =3/2
Then, find the common denominator:
3/2 - 1/16
LCM = 16
3/2 *8 = 24/16
24/16 - 1/16
Last, subtract:
23/16
OR
1 7/16
Hope this helps!
mark brainliest if possible!
which inequalities are true? Select four correct answers
A:square root of 5<2.3
B: square root of 5<2.4< square root of 6
C: square root of 4
D: square root of 8<3
E: square root of 8<2.9< square root of 9
F: square root of 4<4.5< square root of 5
Answer:
A, B, D and E are the correct answers because they are all true
In a scale drawing of a house, 1 inch represents 9 feet. Scale 1 in : 9 ft Answer the following. (a) The length of the real house is 27 feet. What is the length of the house in the scale drawing? [ inches X $ (b) In the scale drawing, the height of the house is 8 inches. What is the height of the real house? I feet
Answer:
See below.
Step-by-step explanation:
(a) 27 feet in reality = 3 inches in drawing (length)
(b) 8 inches in drawing = 72 feet in reality (height)
Find the rule. Solve for n.
Rule:
Step-by-step explanation:
The rule is add 5 to x
6+5=11
n=11
I think of a number and I divide it by 3. I multiply it to the sum of 4 and 5. The
answer is 81. What is the number?
aswer it pls
Answer:
27
Step-by-step explanation:
Let the number be x
x/3 * (4 + 5) = 81
x/3 * 9 = 81
x/3 = 81/9 = 9
x = 3 * 9 = 27
using the spinner above, what is the probability that you will land on red or blue?
Answer:
red: 50%
blue: 25%
the total chance is 75%
will someone please help me on my math
Answer:
192 should be the surface area i think correct me if im wrong
Step-by-step explanation:
Answer:
you are correct! (I know your already passed it but I felt like answering)
Determine whether the relation is a function.
c= {(8,3), (-9,-4), (2,3), (4, - 7)}
Answer:
It is a function
Step-by-step explanation:
It is a function because each input corresponds to exactly one output.
f(x) = x2. What is g(x)? y f(x) 5 g(x) (2, 1) x -5 5 -5 O A. g(x)= x2 4 O B. g(x)=1** x2 O c. g(x) = 4x2 OD. g(x)=(**) X 4
Answer:
g(x) = (1/4)x^2
Step-by-step explanation:
See attached image
The equation of the given graph is g(x) = (1/4)x². The correct answer is an option (A).
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function.
The graph of g(x) = (1/4)x² is a parabola that opens upwards and is wider than the graph of f(x) = x².
The vertex of the parabola is at the origin (0, 0), and the shape of the curve is determined by the coefficient of x², which is 1/4 in this case.
The graph of f(x) = x² is also a parabola that opens upwards, but it is narrower than the graph of g(x) = (1/4)x².
The vertex of the parabola is also at the origin (0, 0), but the curve is steeper because the coefficient of x² is 1, which is greater than 1/4.
Thus, the correct answer is an option (A).
Learn more about the parabola here:
brainly.com/question/4074088
#SPJ7
(+6) + (-11) + (+5)+(-7)
Answer:
(+6) + (-11) + (+5)+(-7)
(6) + (-11) + (5) - (7)
6 - 11 + 5 - 7
(6 + 5) + (-11 - 7)
11 - 18
= -7
Answer:
-7
Step-by-step explanation:
6-11+5-7 is the simplified version. 6-11 is -5. 5-7 is -2. -5+-2 is -5-2 is -7.
Olivia needs to run 5 thousand
metres. The distance around the
track is four hundred metres. How
many times does she need to run
around the track?
Paul earns $380 each week at his part-time job. His employer withholds 18% of Paul’s pay for taxes. How much does Paul take home each week?
Let that be x
[tex]\\ \rm{:}\dashrightarrow x=380-0.18(380)[/tex]
[tex]\\ \rm{:}\dashrightarrow x=380-68.4[/tex]
[tex]\\ \rm{:}\dashrightarrow x=311.6\$[/tex]
[tex]0.5216 \div 0.08[/tex]
how to solve this problem
What is 4 1/2 pint to quart?
There are two pints every quarter.
So let's convert pints to quarter
[tex]\frac{4\frac{1}{2} }{2} =\frac{\frac{9}{2} }{2} = \frac{9}{4}[/tex]
There 4 1/2 pint is to 9/4 quarter.
Hope that helps!
p.s. look at my diagram to help you remember
The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks.
19, 6, 10, 7, 9,5, 8, 9, 12, 9, 17, 14, 17, 18, 19
Which box plot represents this data?
o
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20
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Answer:
The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks. 19, 6, 10, 7, 9, 5, 8, 9, 12, ...
2 answers
·
28 votes:
The information given shows that it has a mean of 11.93, a median of 10 and an interquartile ...
Step-by-step explanation: