Answer:
>> $9000 invested in mutual fund
>> $3000 invested in government bond
>> $4500 put in the bank
Step-by-step explanation:
Let us denote the money invested in each case by a letter. Thus;
a = the money that he invested in a mutual fund
b = the money that he invested in a government bond
c = the money that he put in the bank
We are told that he invested a total of $16,500. Thus;
a + b + c = 16500 - - - (eq 1)
He invested twice as much in the mutual fund as he did in the bank. Thus;
a = 2c - - - (eq 2)
From the percentage given and the return of $1,425 from the first year investments, we have;
0.11a + 0.07b + 0.05c = 1425 - - - (eq 3)
Let's put 2c for a in eq (1) and eq (3)
Thus;
2c + b + c = 16500
b + 3c = 16500 - - - (eq 4)
Also,
0.11(2c) + 0.07b + 0.05c = 1425
0.07b + 0.27c = 1425 - - - (eq 5)
From eq 4, b = 16500 - 3c
Putting this in eq(5) gives;
0.07(16500 - 3c) + 0.27c = 1425
1155 - 0.21c + 0.27c = 1425
0.06c = 1425 - 1155
0.06c = 270
c = 270/0.06
c = $4500
b = 16500 - 3(4500)
b = 16500 - 13500
b = $3000
Since a = 2c, then;
a = 2(4500)
a = $9000
A cube has a volume of 64. What is the side length of one side
#15
Answer:
4
Step-by-step explanation:
volume is equal to a x a x a
This means that [tex]a^{3}[/tex] = V
Therefore, a = cube root of V, which is 4
What number is 80% of 80?
Answer:
64 IS THE ANSWER........
Kim's baby sister weighed 9 pounds when she was born. How many ounces are in 9 pounds?
MY HOMEWORK IS DUE TODAY HELPPPPP???????????????????
Students in Ms. Singh’s class had the following scores on their last quiz. What was the median score of Ms. Singh’s 20 students?
85, 83, 68, 77, 72, 95, 87, 75, 73, 55,
82, 85, 91, 86, 92, 78, 85, 86, 79, 82
Answer:
Median score = 82.5
Step-by-step explanation:
First, arrange the given data in an ordered manner. Thus:
55, 68, 72, 73, 75, 77, 78, 79, 82, 82, 83, 85, 85, 85, 86, 86, 87, 91, 92, 95
The median = the average of the 10th and 11th data
Median = (82 + 83) ÷ 2
Median = 165 ÷ 2
Medina = 82.5
Angle a in angle B are complementary angle E equals 3X +4 angle B equals 5X +6 what is the measure of angle a
Booker earned $1,200 over
the summer. He invested the money in
stocks. To his surprise, the stocks increased
in value to $1,335 in only 9 months. Find
the simple interest rate for the investment.
Answer:
15%
Step-by-step explanation:
1335-1200=135
9 months=9/12
135=1200 x r x 9/12
135=900r
divide each by 900
135/900 900r/900
0.15=r
0.15=15%
just help me again for 2 times
Answer:
A. 86.7
first, the base. length x width.
it's square, so
5.1 x 5.1= 26.01
then the sides. formula for a triangle is base times height divided by 2.
5.1 x 5.95= 30.345 divided by 2 is 15.1725
there are 4 sides, so multiply times 4
4 x 15.1725= 60.69
now, add the base to the sides
26.01 + 60.69= 86.7
What is the combined height for 3 nickels, 2 nickels, and 1 nickel? The thickness of one nickel is 1/16 inch.
Answer:
3/8 of an inch
Step-by-step explanation:
3/16 + 2/16 + 1/16 = 6/16 = 3/8 inch
Answer:
3/8 inch
Step-by-step explanation:
So we know there are 6 nickels and we know the height of one nickel: 1/16
So 6*1/16 = 6/16 = 3/8
A color printer prints 25 pages in 8 minutes.
How many pages does it print per minute?
(round to the nearest hundredth)
Answer: 0.13
Step-by-step explanation:
If x = 64, what is the value of x(x - 6)?
Answer:
64(64-6) = 3712
Step-by-step explanation:
64(64 -6)
64-6 = 58
64(58) = 3712
If y = -2x + 3, find y when x = -3
29,58,116,... find the 71st term
Answer:
sorry it doesn't make sense to me either but here is a link to another one of the 71st things hopefully it helps :)
Step-by-step explanation:
https://brainly.com/question/15779922
Factor 60y - 90 - 20x to identify equivalent expressions
Answer:
10(6y−9−2x) and 5(12y−18−4x)
Answer: 10(60y/10 - 90/10 +-20x/10)
Which solid has the net shown?
A. Triangular pyramid
B. Square pyramid
C. Rectangular prism
D. Triangular prism
Answer:
D
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer: Quora. It will help, trust me or search it up
The school band gets $5 for each T-Shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised do far, how many more T-Shirts do they have to sell to reach or exceed the goal?
Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth? HELP?????????!!!!!!!!!!!!!!!!!!!!
Answer:
1/12 yard
Step-by-step explanation:
From the above question:
5 pieces of equal length = 5/12 yards
1 piece of equal length = x yard
Cross Multiply
5 pieces × x = 1 piece × 5/12 yards
x = 1 piece × 5/12 yards/5 pieces
x = 5/12 ÷ 5
x = 5/12 × 1/5
x = 1/12 yard
The length of each piece of cloth is 1/12 yard
c) Jasper and Emma are training for a marathon. Jasper runs 6 kilometers at a
time while Emma prefers to run in blocks of 3 kilometers. At the end of a
month, they realize that they have run same total number of kilometers. What
is the smallest number of kilometers that each must have run?
Answer:
The smallest number of kilometers that each must have ran is 6 km
Step-by-step explanation:
The distance Jasper prefers to run at a time = 6 km
The distance Emma prefers to run at a time = 3 km
The distance ran by Jasper at month end = The distance ran by Emma at the end of the month
The smallest number of kilometers that each must have ran is given by the lowest common multiple, LCM of 6 and 3 as follows;
The multiples of 6 are;
6 × 1 = 6, 6 × 2 = 12...
The multiples of 2 are;
3 × 1 = 3, 3 × 2 = 6...
∴ The LCM of which = 6
Therefore, the smallest number of kilometers that each must have ran = 6 km
Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?
Answer:
1 3/10
Step-by-step explanation:
We are to determine the difference the paint of yellow and orange paint
The equation we are to solve is
[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]
The equation can be solved by taking the following steps
Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]
I need help please, I will give brainliest to the first 2 people
Answer: that should be B !! so sorry if wrong..
Step-by-step explanation:
50.6 is what percent of 55?
50.6 is % of 55.
Answer:
50.6 is 92% of 55
Step-by-step explanation:
50.6:55*100 =
(50.6*100):55 =
5060:55 = 92
Now we have: 50.6 is what percent of 55 = 92
Hope this helped!
SOMEONE PLS HELP I HAVE LIKE A MINUTE LEFT!!!
Answer:
C
Step-by-step explanation:
I'll explain if you need but i'm trying to answer quick for you
Answer:
C
Step-by-step explanation:
3500(1.04)^15
6,303
so in 15 years it will be over 6,000 dollars in the account
will give brainliest if you help me
Answer:
1120 in³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = area of base × height , then
V = 80 × 14 = 1120 in³
I need help what is this answer Yesterday, it rained for 335 minutes. The day before that it rained for 5 hours and 10 minutes. On which day did it rain for a longer period of time?
Answer: Yesterday it rained longer
335 / 60 = Hours
335 minutes
= 5 7/12 hours
≈ 5.58333 hours
335 minutes
= 5 hours & 35 minutes
Hope it helps and have a good day! (:^w^:)
find the area
length=x+10 width=2x+5
explain/show your steps
2a + 3b = 5
b = a - 5
Answer for A:
[tex]a = \frac{5 - 3b}{2} [/tex]
Answer for B:
[tex]b = \frac{5 - 2b}{3} [/tex]
2nd Equation:Answer:
[tex]a = b + 5[/tex]
hope it helps.
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
SQ
Step-by-step explanation:
NL:SQ = MN:SR = ML:RQ (corr.side, similar triangles)
(WILL GIVE BRAINLIST) The number of phone calls received by the complaint department of a small company over a five day period is as follows:
28, 26, 33, 41, 47
Find the mean deviation for this data.
Select one:
8.9
7.2
7.9
62.8
Answer:
im not shure which one it is
Step-by-step explanation:
PLEASE I NEED HELP ASAP
In diagram triangle PQV and triangle WXY . What is length of XY
Answer:
:(
Step-by-step explanation:
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