Answer:
1875
Step-by-step explanation:
The bank loaned part of the $25,500 at a 6% interest rate. We will call this loan amount x. Then the rest of the 25,500 was loaned at a 9% interest rate. We will define this amount as 25,500 - x. We also know that the total interest earned was $1,875. With this information, we form the equation:
.06(x) + .09(25500 - x) = 1,875
.06x + (2,295 - .09x) = 1,875
Simplify the above equation to:
-.03x + 2,295 = 1,875
-.03x = -420
x = 14,000
Since x is the amount loaned at the 6% interest rate, we know that $11,500 was loaned at a 9% interest rate. (25,500 - 14,000 =11,500)
To figure out the amount loaned at 6%, subtract 11,500 from 25,500 ... this gives us 14,000. This means $14,000 was loaned at 6%.
To check:
14,000 x .06 = 840
11,500 x .09 = 1035
840 + 1035 = 1875
Evaluate 725+ 41092 -5688
Answer:
36129
Step-by-step explanation:
Which of the expressions is equivalent to the expression (117.50-83.50)+6(22.50+3)
A. 34+138
B. 40(25.50)
C. 28(25.50)
D. 34+6(25.50)
Answer:the answrr would be A i got a 100 on my testtttt
Step-by-step explanation:
....................... is 10 times greater than three hundreds.
guys please help
Answer:
3000
Step-by-step explanation:
300×10=300
plz mark me brainiest
Someone help me PLEASE it’s DUE
Answer:
20 inches
Step-by-step explanation:
When the instructions say a triangle is similar, it basically means they are exactly the same unless otherwise specified.
With this, we just need to find the ratio.
We can see that DE is 6 inches while AB is 18 inches.
This means that the ratio between DEC and ABC is 1:3, respectively.
So if AC is 30, that means DC should be 10.
All we have to do now is subtract DC from AC to find AD
30 - 10 = 20
So AD is 20 inches
I'm pretty sure there is a more mathematical approach to this but this is good enough to solve any problem like this.
Answer:
20 inches
Step-by-step explanation:
Set up a proportion
BA/AC = ED/DC
You are given that BA = 18, AC = 30, ED = 6
18/30=6/
18/6 = 3
30/3 = 10 = DC
Sense DC = 10
AC-DC
30-10=20
Solve each system of equations by using elimination. 2x + y = 2 3x – 2y = –11
Answer:
I'm pretty sure the answer is {x, y} = {-7, -16}
Step-by-step explanation:
2x - y = 2
[other explanation] 3x - 2y = 11
Hope this helps
HELP LAST ATTEMPT to ( get marked brainliest show work !
HELP! click on image, but I will give Brainly + 24 pts !!
Question : The total cost (in dollars) for a company to manufacture and sell x items per week is C(x) = 70x + 300. If the revenue brought in by selling all x items is R(x) = 90x - 0.03x^2 find the weekly profit. How much profit will be made by producing and selling 70 items each week? Hint : P(x) = R(x) - C(x)
P(x) = ______
P(70) = $ _______
Answer:
p(x)=20x+300+0.03x^2
p(70)=1553 dollars
Solve pls brainliest
Answer:
6.1, 6.107, 6.17, 6.1722
Step-by-step explanation:
Hope this helps! :)
Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Step-by-step explanation:
Value of x:
x = 180 - 140 = 40 (linear pair)Value of y:
180 - 40 + 180 - 28 = 292 (sum of supplementary angles with x and 28)solve pls brainliest
Answer:
(a) 448
(b) -5
find the value using suitable properties 1568x84-1568x84
0 zeroMark as brainlist ❤️❤️
The solution to 1568 × 184 - 1568 × 84 using suitable properties is; 156800
Distributive PropertiesWe want to solve;
1568 × 184 - 1568 × 84
Now, to solve this, we need to understand distributive property which is;
a(b + c) = ab + ac
Thus, applying distributive property to our question, we will have;
1568(184 - 84)
>> 1568(100)
>> 156800
In conclusion, the solution is 156800
Read more about distributive properties at; https://brainly.com/question/2807928
Quickkk?!!
For each equation, determine whether it is linear.
Answer:
a. Linear
b. Linear
c. Non-linear
d. Linear
Answer:
a. Linear
b. Linear
c. Not Linear
d. Linear
Solye for x.
5(x+1)
Answer:
x =1
Step-by-step explanation:
Does anyone know how to do this problem? If so please help so I could get it? Not only the answer but like the formula on how you get it step by step
58,300 meters to kilometers. Round to the appropriate number of significant digits.
Answer:
58.3km
Step-by-step explanation:
58300 ÷ 1000 = 58.3km
Given:-
58,300 metres
Converting to kilometers, let's do by:-
[tex] \frac{58300 \: m}{1} \times \frac{1}{1000} km[/tex]
[tex] \frac{58300}{1000} [/tex]
[tex] => 58.3 \: km[/tex]
Therefore, in kilometers, 58300 m = 58.3 km.
✍️ By Benjemin ☺️
Is this relation a function? Justify your answer.
Answer:
C
Step-by-step explanation:
Use the vertical line test with your pencil. Move you pencil across the graph and if two points are under your pencil then it is not a function.
Answer:
C
Step-by-step explanation:
It isn't a function because the x-values repeat at points (2, 11) and (2, 2)
Find the product. Estimate to check that yo
474
X 18
+Multiply by the ones.
+Multiply by the tens.
Add the partial products.
+
9514 1404 393
Answer:
8532
Step-by-step explanation:
See the attachment for the partial products and their sum.
The estimated value is about 10% less than 20·475 ≈ 9500 -950 = 8550. This indicates our answer of 8532 is probably correct.
f
(
x
)
=
−
2
x
2
+
2
x
+
4
Answer:
x=0
Step-by-step explanation:
f(x)=−2x2+2x+4
0=-4+2x+4
x=0
HELP ME PLEASE !!!! VERY URGENT!!
A scuba diver descends in the water at a rate of 20 1/2 feet per minute for 2.8 minutes. He immediately changes course when he sees a large fish and ascends at a rate of 25 feet per minute for 2 minutes. What is the scuba diver's position relative to sea level after the 4.8 minutes?
Answer:
7.4 feet below sea levelStep-by-step explanation:
Assumed the starting point is the sea level 0.
After 2.8 min the diver is at position:
20 1/2 * 2.8 = 20.5 * 2.8 = 57.4 feet below sea levelThe position change after next 2 minutes:
25*2 = 50 feetThe position of the diver after 4.8 min:
57.4 - 50 = 7.4 feet below sea levelAnswer:
I tried to but they picture on but it did not work for some reason but the answer is -7.4
Step-by-step explanation:
on a number line, where would 6/10 be located? choose all the answers that make a true statement.
Answer:
The answer is B and D
Step-by-step explanation:
If you mark the last line as 5 and the first line (placement) as 0.5 the you'l, see that 6/10 falls on 3/5. And 6/10 is on the left of 8/10.
which expression is equal to 2(8n)^4?
Step-by-step explanation:
2(8n)⁴
=2•8n•8n•8n•8n
Hope it helps ya
2 · 8n · 8n · 8n · 8n
Step-by-step explanation:
2(8n)⁴
= 2 · 8n · 8n · 8n · 8n
You've poured some 8% (by mass) alcohol solution and some 12% alcohol solution into a large glass mixing container. Now you have 760
grams of 10% alcohol solution. How many grams of 8% solution and how many grams of 12% solution did you pour into the mixing container?
Step-by-step explanation:
you mixed an 8% and a 12% solution together.
so, you get (8%×mass1 + 12%×mass2)/((mass1 + mass2)/2) as resulting % of the combined solution.
since the result is 10%, which is precisely the arithmetic middle
(8 + 12)/2
we see that mass1 = mass2.
in other words : the same quantity (mass) of the 8% solution and the 12% solution was mixed together.
so, 760g = 2×mass
=>
mass = 380g
380g of the 8% solution and 380g of the 12% solution were mixed together.
4g + 8cm squared
.......................................................................................................................................................................
Answer:
I think the answer is 25
Step-by-step explanation:
Noah and Amelia are reading the same book. At the beginning of the month, Noah was on page 41 and Amelia was on page 13. Noah will read 12 pages per day and Amelia will read 16 pages per day. Let NN represent the page of the book that Noah is on at the end of tt days into the month, and let AA represent the page of the book that Amelia is on at the end of tt days into the month. Write an equation for each situation, in terms of t,t, and determine whether Noah or Amelia is farther along in the book after 3 days.
Answer:
After 3 days, Noah is still farther along reading.
Step-by-step explanation:
Here are the two equations:
NN = 12tt + 41
AA = 16tt + 13
Now we plug in 3 to both equations to see what page they're on after 3 days:
[tex]NN = 12(3) + 41\\NN = 36 + 41\\NN = 77 \\\\AA = 16(3) + 13\\AA = 48 + 13\\AA = 61[/tex]
After 3 days, Noah is 77 pages along and Amelia is 61 pages along.
77 pages > 61 pages so therefore Noah is still farther along.
what is the gcf of 147y^4, 98y^3
Answer:
49y^3
Step-by-step explanation:
a scale drawing of Lafayette square is 8 inches long and 4 inches wide. The actual park is 160 feet wide. What is the actual area of the park, in square yards?
Answer:
Lafayette Square is about 5688.89 square yards
Step-by-step explanation:
The scale factor( ratio between the two sides) is 8 inches long to 4 inches wide or 2 to 1; 2 inches to one 1
Given the actual park is 160 feet wide ( need this measurement in inches).
so the actual part is 160 · 12 = 1920 inches wide.
Using the ratio long/ wide = long/ wide 2/1 = ?/1920. The part is 3840 inches long.
Answer need to be in yards: divide by 36 because 36 inches = 1 yard.
Long = 3840/36 = 320/3 yards
wide = 1920/36 = 160/3 yards
Actual area = L · W
= (320/3)·(160/3)
= 51200/9
= 5688.89 square yards
Convert the metric measurements.
5,300 ml = L
6.72 kg = G
.0418 m = mm
PLEASE HELP I WILL GIVE YOU BRAINLIEST AND 60 POINTS
Triangle PQR is transformed to similar triangle P’Q’R’:
What is the scale Factor dilation
A1/2
B1/3
C1/4
D1/5
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?
A. −7 − 8n
B. −7 + 8n
C. −7 − 13n
D. −7 − n(10.5 − 2.5)
E. −7 + n(10.5 − 2.5)