Answer:
80%
Step-by-step explanation:
County day scholarship fund receives a gift of $130,000 the money is invested in stocks, bonds and CDs. CDs pay 2% interest, bonds pay 2.9% interest, and stocks pay 9.9% interest. country day invests $25000 more in bonds than in CDs. if the annual income from the investment is $8885, how much was invested in each vehicle?
country day invested $______ in stocks.
country day invested $______ in bonds.
country day invested $______ in CDs.
Answer:
$15,000 was invested in CDs.
$40,000 was invested in bonds.
$75,000 was invested in stocks.
Step-by-step explanation:
Let C be the amount invested for CDs, B be the amount invested for bonds, and S be the amount invested for stocks.
We know that the total amount invested must be $130,000 because that was the amount given to the Scholarship Fund. So:
[tex]C+B+S=130000[/tex]
We know that CDs pay 2% or 0.02 interest; Bonds pay 2.9% or 0.029 interest; and Stocks pay 9.9% or 0.099 interest. In total, the investment earned $8,885. So:
[tex]0.02C+0.029B+0.099S=8885[/tex]
Let's remove the decimals by multiplying everything by 1000. This yields:
[tex]20C+29B+99S=8885000[/tex]
Now, we know that $25000 more was invested in bonds than CDs. So:
[tex]B=25000+C[/tex]
We have a triple system of equations. We can solve this using substitution. Let's substitute our third equation into the second equation. This yields:
[tex]20C+29(25000+C)+99S=8885000[/tex]
We want to isolate the C variable. Here, we removed the B but we still have an S.
So, to remove the S, we can go back to our first equation. We have:
[tex]C+B+S=13000[/tex]
Subtract C and B from both sides:
[tex]S=130000-C-B[/tex]
We can now substitute this for S:
[tex]20C+29(25000+C)+99(130000-C-B)=8885000[/tex]
We got a B again. But, we already know what B is. Substitute:
[tex]20C+29(25000+C)+99(130000-C-((25000)+C))=8885000[/tex]
So, our equation is now in terms of C. Solve for C. Distribute on the far right:
[tex]20C+29(25000+C)+99(130000-C-25000-C)=8885000[/tex]
Combine like terms:
[tex]20C+29(25000+C)+99(105000-2C)=8885000[/tex]
Distributive Property:
[tex]20C+725000+29C+10395000-198C=8885000[/tex]
Combine like terms:
[tex](20C+29C-198C)+(725000+10395000)=8885000[/tex]
Add:
[tex]-149C+11120000=8885000[/tex]
Subtract 1112000 from both sides:
[tex]-149C=-2235000[/tex]
Divide both sides by -149:
[tex]C=15000[/tex]
So, a total of $15,000 was invested in CDs.
Since $25,000 more was invested in bonds than in CDs, this means that a total of $25000+$15000 or $40,000 was invested in bonds.
To find out how much was invested in stocks, we can use our first equation again:
[tex]C+B+S=130000[/tex]
Substitute 15000 for C and 40000 for B:
[tex]15000+40000+S=130000[/tex]
Add:
[tex]55000+S=130000[/tex]
Subtract 55000 from both sides:
[tex]S=\$75000[/tex]
So, $15,000 was invested in CDs, $40,000 was invested in bonds, and $75,000 was invested in stocks.
And we're done!
Answer:
$15,000 was invested in CDs.
$40,000 was invested in bonds.
$75,000 was invested in stocks.
Step-by-step explanation:
A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and width of the rectangle.
Step-by-step explanation:
The area of a rectangle is 171 m²
Let l is the length and b is the width of the rectangle
It width is 10 m less than the length. So,
b = l-10 ...(1)
Area of a rectangle is given by :
[tex]A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0[/tex]
or
l = 9 m or l = 19 m
If l = 9 m,
b = 9-10 = -1 m (can't be possible)
If l = 19 m
b = 19-10 = 9 m
So, the length an the breadth of the rectangle is 19 m and 9 m respectively.
nova needs to determine the number of books that will fit into a box. if the box has the length of 18 inches and each book is 2/9 of an inch thick, which expression can be used to determine the number of books that will fit into the box
Answer:
First we know that each book is 2/9 inch thick
- The total length of the box is 18 inches
- And we can fill the box with x Amounts of 2/9 inch books as long as the total length DO NOT SURPASS 18 inches
Step-by-step explanation:
In which x is the total number of books
Answer:how does it go again
Step-by-step explanation:
pe pe po po pe pe pp po
There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is 5: 7. Is Lonnie correct?
WHAT IS 12X124
PLEASE ANSWER ASAP FIRST TO ANSWER GETS BRAINLY
Answer:
1488 (✿◕‿◕✿)
Step-by-step explanation:
Answer:
1488
step-by-step explanation:
124
12 when multiplied equal 1488
Find the value of x in each of the following A)2x=10 B)3x=27
last question below, or select another question
For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?
Answer:
30 adult tickets and 50 child tickets
Step-by-step explanation:
605 = 8.5a + 7c
80 = a + c
620 = (8.5*40) + (7*40)
605 = (8.5*30) + (7*50)
a = 30 c = 50
What is an equation of the line that passes through the points (1, 2) and (2, -1)?
Answer: m = -3
............................
Draw a histogram for the intervals 2-4, 5-7, 8-10, and 11-13 using the following data: 11,3,13,4,2,2,13,3,6,4,6,11,4,13,7,3,3,3,10,2
A
B
C
D
are you in statistics because I took it and I'm good at it. pet me see if I can figure it out. give me a minute
PLS Answer these questions! I have a test!
Answer:
ZDM is not a name for the angle, 6 square units is the area, A the cylindar, 26 degrees
Step-by-step explanation:
Area of triangle is 1/2 base x height
116-90 = 26 degrees to angle ABC
Inductive Reasoning
Write the next two numbers in the pattern
400, 200, 100, 50, 25,
Answer:
12.5, 6.25
Step-by-step explanation:
The answer halfs every time
Answer:
Step-by-step explanation:
After 400 ,800,1600
Before 25,12.5,6.25
Henry can write 5 pages of his novel in 3 hours at this rate how many pages can Henry write in 8 hours
Answer:
13.3 pages.
Step-by-step explanation: Hopefully this helped a lot !
What are the partial products of 73 × 8
The partial products of 73 x 8 is = 584
What is partial product?The partial products algorithm allows students to multiply two long numbers fast and easily by breaking down a more challenging product into a series of simpler problems.
Steps to calculating the partial product for 73 x 8(70 +3 ) * (8)
= 70 x 8 = 560 and ;
= 3 x 8 = 24
Step 2 - Add all the products together
560 + 24 = 584
Learn more about partial product at:
https://brainly.com/question/24716925
#SPJ2
In a survey 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary. How many students were in the survey, please explain. :)) <33
Juan needs to rent a car for his road trip to Savannah, GA. Juan asks his friends if he knows how much the car rental costs. Nadia says she paid $50 for a two-day car rental. Johanna says she paid $75 for a three-day rental, and Kristine paid $100 for a four-day rental.
Juan made the table below to help him visualize how much his car rental will cost.
Answer:
ok whats the question?
Step-by-step explanation:
i only see the explanation
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. Fr example, if your solution is 12%, you would enter 0.12.
Answer:
0.05
Step-by-step explanation:
we are given the formula
I = Prt, where
I = interest earned = $450
P = Principal amount = $3000
t = time = 3 years
r = rate (we are asked to find this_
Simply substitute the known values into the equation
I = Prt
450 = 3000 x r x 3
450 = 9000r
r = 450/9000
r = 0.05
Answer:
0.05
Step-by-step explanation:
If z = 13 – 71, what is the value of |z|?
Answer:
-58
Step-by-step explanation:
If 3t^2 and -4t are multiplied, the product
Is
Answer:
-36
bc my brain say write dis
The width of a classroom is 4 meters less than the length, and the area is 192 m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom.
Answer:
length-x
width-x-4
area-- length* width
192=X*(X-4)
x^2-4x-192=0
x^2-16x+12x-192=0
X(x-16)+12(x-16)=0
(x-16),(X+12)
X= 16 because X cannot be negative like (-12)
the dimensions of the classroom will be
length = 16
width = 12
I hope this will help everyone
Which expressions below equal a rational number? Select all that apply.
determine the number of significant digits in the measurement 3.08cm
9514 1404 393
Answer:
3 significant digits
Step-by-step explanation:
If there is a decimal point with non-zero digits to its left, all digits to the right of the left-most non-zero digit are significant. Here, that is all of them. This number has 3 significant digits.
__
Comment on other cases
If there is no decimal point, the digits between any leading and trailing zeros are significant. For example, 02000 has 1 significant digit.
If there are no non-zero digits left of the decimal point. All digits except leading zeros are significant. 0.0031000 has 5 significant digits.
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
What is the value of x in the equation below? Round to the nearest hundredths place.
0.45 (x + 1.6) + 5 x = 18
3.01
3.17
36.44
38.4
Answer:
the answer is "B"
Step-by-step explanation:
took da quiz
Answer:
B
Step-by-step explanation:
Simplify the question 8(x+9)
Step-by-step explanation:
8(x + 9)
8x + 72 = 0
8x = -72
x = -72/8
x = -9
Answer:
Given : 8(x + 9)
Solution :
[tex]8(x + 9) = 0\\ [/tex]
Multiply 8 to both x and 9
[tex]8x + 72 = 0 \\ [/tex]
Now, Move 72 to RHS from LHS
[tex]8x = - 72 \\ [/tex]
[tex]x = \dfrac{ - 72}{8} \\ [/tex]
And the final ans we get is :
[tex]\boxed{x = - 9}[/tex]
A straight angle is split into the ratio of 3:1:4. Find the measure of each angle.
Answer:
Let the parts be given as x,
180° = 3x + 1x + 4x (Because a straight angle = 180°)
=> 180° = 8x
=> 180 / 8 = x (By the law of transposition)
=> 22.5 = x
Therefore the three different angles are :
67.5° , 22.5° , 90° respectively
Check,
=> 67.5 + 22.5 + 90
=> 90 + 90
=> 180°
If my answer helped, please mark me as the brainliest!!
Thank You!
Model the unknown number situation by writing an algebraic expression.
the difference of a number and one hundred
n-100
100 - n
n + 100
100 +n
Answer:
number 1 or A i got it
Step-by-step explanation:
Answer: The answer you are looking for is A on edge
Step-by-step explanation: Pls Mark me Brainilist! I know that this is for sure Right!
Here are four logos.
Which two logos have more than one line of symmetry?
Answer:
A and C
Step-by-step explanation:
A and C
Thank you
The logos have more than one line of symmetry are Option(c) and Option (1)
What is a line of symmetry?
A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.
According to the question
Logos have more than one line of symmetry
are option A and Option C
As in Option A if we cuts the shape exactly in half along lines marked in circle
There half will be same
so , there are 3 lines of symmetry in option A.
Now, In option 4
if we cuts the shape exactly in half along the middle of horizonal and vertical side of square figure
There half will be same
So , there are 2 lines of symmetry in option C.
Hence, The logos have more than one line of symmetry are Option(c) and Option (1) .
To know more about line of symmetry here:
https://brainly.com/question/1597409
#SPJ2
NEED HELP ASAP PLEASE
Classify the quadrilateral.
kite..................
5. Find the value of x. (x+16) (4x-5)
Answer:
x = 7
Step-by-step explanation:
Set the equations equal to each other, since the two angles are congruent.
x + 16 = 4x - 5 now solve
21 = 3x
x = 7
Answer:
Step-by-step explanation:
5+(×-2)=-8 need help with answer
Answer:
x = -11
Step-by-step explanation:
5 + (x - 2) = -8
Subtract 5 from both sides.
x - 2 = -13
Add 2 to both sides.
x = -11