Step-by-step explanation:
Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:
.04(x) + .09(17500 - x) = 1100
Multiply the .09 times the inside of the parentheses:
.04x + 1575 - .09x = 1100
Simplify:
-.05x + 1575 = 1100
-.05x = -475
x = 9500
Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.
To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.
I hope this helps!
A self-storage center has many storage rooms that are 6 ft wide, 10 feet deep, and 12 ft high. What is the volume of the room?
The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet
The dimensions are given as:
[tex]Width = 6ft[/tex]
[tex]Depth = 10ft[/tex]
[tex]Height = 12ft[/tex]
The volume of the storage room is the product of the dimensions.
So, we have:
[tex]Volume= Width \times Depth \times Height[/tex]
Substitute values for Width, Depth and Height
[tex]Volume= 6ft \times 10ft \times 12ft[/tex]
Multiply the dimensions
[tex]Volume= 720ft^3[/tex]
Hence, the volume of the storage room is 720 cubic feet
Read more about volumes at:
https://brainly.in/question/2593668
Pls help I’ll brainlest ASAP
Answer:
slope = change over y/change over x
point 1: (-3,-4)
point 2: (2,3)
(-4-3)/(-3-2)=(-7)/(-5)=7/5
y=mx+b -> m=slope, b=y-intercept
y=(7/5)x+b
plug in one of the points
3=(7/5)*2+b
3=14/5+b
b=1/5
slope = 7/5, y-intercept = (0,1/5)
PLEASE Help!!:
Check for understanding:
1) Circumference: C = D × π = 40 × 3.14 = 125.6
Area: [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]
2) Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm
Area: [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]
ok done. Thank to me :>
Which of the following numbers can be expressed as a decimal that terminates? 3/2,2/3,3/4,5/7
Answer:
Step-by-step explanation:
An example of one fraction that does NOT terminate is 2/3.
2/3 = 0.666666666666666 .... That's the easy way to tackle the problem. Pick out the ones that don't terminate.
5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.
5/7 = .571428 571428 which goes on forever.
So the two that do terminate are
3/2 which = 1.5
3/4 which = 0.75
find all complex solutions of 5x^2+5x+4=0
Answer:
-1/2 + i/10 sqrt(55) , -1/2 - i/10 sqrt(55)
Step-by-step explanation:
5x^2+5x+4=0
a=5 b= 5 c=4
Using the quadratic formula
-b ± sqrt( b^2 -4ac)
---------------------------------
2a
-5 ± sqrt( 5^2 - 4(5)(4))
----------------------------------
2(5)
-5±sqrt( 25 - 80)
----------------------------
10
-5± sqrt(-55)
--------------------------
10
-5/10 ± 1/10 i sqrt(55)
-1/2 + i/10 sqrt(55) and -1/2 - i/10 sqrt(55)
Answer:
x= -5 ± i√55 / 10
Step-by-step explanation:
hope i helped
The persons income increased from 27,000 to 40,000 over the last year. What is the percent change
Answer:
32.5
Step-by-step explanation:
Write as a product 4x^4+8x^3-2x^2
Answer:
764x
Step-by-step explanation:
4^4=256
8^3=512
2^2=4
256-4+512=764
764x
Answer:
2x^2(2x^2+4x-1)
Step-by-step explanation:
The GCF is 2x^2 so pull apart each number and you will get your answer.
please i need help with this
Answer:
1.) Smith
2.) Johnson
Answer:
Step-by-step explanation:
Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
hi the answer to your question should be 50 miles
Step-by-step explanation:
hope this helps have a great day!
[tex]5/4+3/4+1/4=[/tex]
100 points brainlyest if right
Answer:
I don't know the question
Step-by-step explanation:
I would love to help tho
Answer:
you never put the question up for us to answer it
Step-by-step explanation:
Help please!!!!!!!!!!!!!!!!!
Answer:
You are correct it is indeed mortgage!
Step-by-step explanation:
This is because a fixed expense is something that cannot be changed easily. Like a mortgage, car payments, rent payments, or insurance.
Hope this helps, I tried to just briefly explain! :)
A stadium has 30 rows. The first row has 18 seats.
Each row has 3 more seats than the previous row.
How many seats are in the 25th row?
Answer: 88
Step-by-step explanation:
i took the 18 from the first row and continued to add 3 to get to 88
Over the summer, Paulo opens a dog-washing business and begins with $32. The table shows how much he earns and spends each week. He works for 8 weeks washing dogs. When he starts back at school, he budgets $60 to spend each week. How many weeks pass before he needs to wash more dogs?
do my teeth look straight?
answer asap
Answer:
yeah your teeth is good and strong too
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the domain {-3, -2, -1, 0, 1} and plot the points on the graph that would best satisfy the equation. The bold grid marks represent one unit, the horizontal red line represents the x-axis, and the vertical red line represents the y-axis.
y = 2-x
the side length of NS is 7.81 units.
A group of 90 students plan to go camping over the weekend. At the last minute, some of the students decide not to go. The students who do go separated into four camps, where [tex]\frac{1}{7}[/tex] of the students stay at Hill Camp; [tex]\frac{1}{3}[/tex] of the students stay at Forest Camp; [tex]\frac{1}{4}[/tex] of the students stay at Field Camp; and the remaining students stay at Lake Camp. How many students were at Lake Camp?
Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
The students who went camping are divided according to the following fractions:
[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.The sum of all these fractions is 100% = 1, hence:
[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]
[tex]84x + 61 = 84[/tex]
[tex]84x = 23[/tex]
[tex]x = \frac{23}{84}[/tex]
Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
A similar problem is given at https://brainly.com/question/24372153
Please help with algebra class I’m struggling
Answer:
Step-by-step explanation:
For what mileages will company A (which has a flat rate of $111) be less than the cost for company B
Company A < Company B
111 < 75 + 0.80m
solving
111 - 75 < 75 - 75 + 0.80m
36 < 0.80m
36/0.80 < 0.80m/0.80
as we are dividing by a positive number, we don't have to change the direction of the < sign.
45 < m
or m > 45
so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent
Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone and accessories. Enter your answer in the box.
Answer:
495-75=m m=420
Step-by-step explanation:
He needs to save 495 dollars, and hes already saved 75
and needs to find out how much more he needs to save to have 495 dollars
To do this, take 495 and subtract 75. This is how we get the inequality
495-75=m
From here it is simple, just subtract 75 from 495 to get 420
Ordering decimals
Order these numbers from least to greatest.
1.509, 1.4062, 1.6, 1.56
Answer:
1.4062, 1.509, 1.56, 1.6
Step-by-step explanation:
1509/1000, 14062/10000, 16/10, 156/100
15090, 14062, 16000, 15600
1.4062, 1.509, 1.56, 1.6
The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run.
Answer:
Length x width= answer
so 15 x 8 = 120
Step-by-step explanation:
Which function has zeros at x = 10 and x = 2?
f(x) = x2 – 12x + 20
f(x) = x2 – 20x + 12
f(x) = 5x2 + 40x + 60
f(x) = 5x2 + 60x + 100
Answer:
f(x) = x2 – 12x + 20
Step-by-step explanation:
if it has those zeros, then it is (x-10)(x-2)
if you multiply that out, you get x^2 - 12x +20
Plz help well mark brainliest if you are correct!!…
Answer:
A. y<-3
Step-by-step explanation:
Pls help I’ll failing ASAP this is due in 10 minutes I need help with 5 and 8
Answer:
5) 3/5
8) 2/-4 or -2/4
Step-by-step explanation:
5, based on your work, is 3/5 because we use rise (3) and run (5)
And 8, based on your work, is 2/-4 or -2/4 because you go up 2, and go to the left 4.
can't believe that you got me in a suit and tie I had to take a pull so I wouldn't cry
You got a line out the church door sayin' goodbye
Yeah, I believe 'em when they say you're in a better place
NAME THE SONG AND THE SINGER 50 POINTS!!!!!
Answer:
give heaven some hell by Hardy
Step-by-step explanation:
what are the measurements of 1 and 2?
Answer:
8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
Answer:
Below
Step-by-step explanation:
1.-d
2.-a
3.-e
4.-b
5.-c
Answer:
-8.3ithink so
Step-by-step explanation:
please help. one algebra question for 20 points
Answer:
f(-18) = -5
Step-by-step explanation:
Substitute−18forxiny=
1/3 x+1:
y= 1/3x+1
y= 1/3(−18)+1
y=−5(Simplify both sides of the equation)
Question 3 of 10
Find tan 0
[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]
Given that the points (-32, - 10) and (-74, 11) lie on a line, what is the
equation of the line?
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
The point-slope equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
where m represents the slope, and is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through the points (-32, - 10) and (-74, 11)
[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]
Substitute these points into the slope formula to get the slope of the line
[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]
Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation
[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
Learn more on equation of a line here: https://brainly.com/question/13763238