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
The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold
What fraction of the players sold between 8 and 16 popcorn tins?
Answer:
1/2 percent
Step-by-step explanation:
If you look at the box, the middle number is 12 or since its the middle "1/2"
so the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
We have given that,
The players sold between 8 and 16 popcorn tins,
If you look at the box, the middle number is 12, or since it's the middle 1/2.
What is the fraction?
Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.
So the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
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36 is 18% of what number?
Answer: 200
Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200
Answer:
200
Step-by-step explanation:
:/
I hope
Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?
Answer:
5.9 pounds
Step-by-step explanation:
3.8 + 2.1 = 5.9
what is the measure of the complement of a 67 degree angle?
Answer:
23°
Step-by-step explanation:
Complement angles are two angles that add up to 90°.
Since we’re given that one of them is 67°, the other one must add up to 90°
90 - 67 = 23
The other angle is 23°
Answer:
the complement of 67° is the angle that when added to 67° forms when a right angle (90°)
What is the percent increase when 7,200 increases by 1,800?
20 percent
25 percent
O 54 percent
O 80 percent
Answer:
25%
Step-by-step explanation:
To find the percent increase, take the increase amount over the original amount
1800/7200
.25
Multiply by 100 to get a percent
25%
25 percent
7200 divided by 1800 is 25
HOPE THIS HELPS
Factor completely
16x^2y^4z^3+33xy^8z^5
Answer:
xy^4 z^3 ( 16x + 33y^4 z^2)
Step-by-step explanation:
step 1 : see what variable you can take out , start with x see if there is x in the left and right side. and how many time you can take it out
next y same thing and then last z
with x = left side you x^2 and right side you have x = so u can take x out once left you with x
with y = left side y^4 and right side y^8 so you can take out y ^4 out left you with y^4
with z = left side z^3 and right side z ^5 you can take out z^3 left you with z^2
can someone help me! The person who gets it right gets brainliest
Answer:
The answer is 17.6
Step-by-step explanation:
Multiply 8 x 2.2, and act as if you are cutting off the left "triangle" and simply moving it to the other side, making it act like a rectangle.
1÷1+cosa+1÷1_cos a please solve question
ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST
Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it take for the car to be worth half of its value?
Answer:
4.62 years
Step-by-step explanation:
Half the car's value =>$24,000/2 = $12,000
The formula for exponential decrease =
y = a(1 - r)^t
y = Initial value = $24,000
a = Value after time t = $12,000
r = Decrease rate = 15% = 0.15
t = time in years =??
Hence,
24,000 = 12000 ( 1 - 0.15)^t
Divide both sides by 12000
24000/12000 = 12000 ( 0.85)^t/ 12000
2 = 0.85^t
We take the logarithm of both sides
log 2 = log (0.85)^t
log 2 = t log 0.85
Divide both sides by log 0.85
t = log 2/log 0.85
t = 4.62098120373 years
Approximately = 4.62 years
It would take 4.62 years to be worth half the initial price
A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?
Answer:
On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?
Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.
Step-by-step explanation:
i need help with this question
Answer:
(C). [tex]\frac{22\pi }{3}[/tex] yd.
Step-by-step explanation:
What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37
Answer: 27.9
Step-by-step explanation:
Add all the numbers together and divide it by how many number there is so
all the numbers added together is 279
there are 10 numbers there so you divide 279 by 10 and it gives you 27.9
Total surface area??
Answer:
total area = 207 cm²
Step-by-step explanation:
base area = 9 x 9 = 81
side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126
81 + 126 = 207 cm²
What is 9 x 2/3 as a fraction.
The expression 9x2/3 can be written in fraction form as, 18/3
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
9 times 2/3 can be calculated by first converting 9 to a fraction and then multiplying that fraction by 2/3. To convert 9 to a fraction, we write it over 9/1 x 2/3
Next, we multiply the two fractions by multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together:
⇒ (9/1) x (2/3)
⇒ (9 x 2) / (1 x 3)
⇒ 18/3
So, 9 times 2/3 as a fraction is 18/3.
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what is equvalint to 1/2a-4
PLEASE ANSWER FAST AS POSSIBLE I HAVE 40 LESSONS DUE BY 12 PM :(
Answer: B
Step-by-step explanation: Skeletons serve as a scaffold which supports organs, anchors muscles, and protect organs such as, the brain, lung, heart, and spinal cord.
What is the value of x in the figure? Enter your answer in the box.
Answer:
x = 65°
Step-by-step explanation:
these are vertical angles, which are congruent
145 = 2x + 15
130 = 2x
65 = x
Plz Help I will give Brainliest
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Answer: 8.6 Ft^2
Explanation:
First find the area of the WHOLE square in FEET
2.5 x 4.5 = 11.25 ft
Then we need to find the area of the circle
r = radius
The formula is A = 3.14r^2
The radius is .9166, we can tell because the total distance from top to bottom is 22in meaning 1.83333 ft, meaning the diameter is 1.8333, then to get the radius we cut that in half.
A = 3.14(.9166^2
A = 2.64 Ft
Now we need to find the new total area
11.25 - 2.64 = 8.61 in ^2
Now we need to convert it to the nearest tenth of a square foot
8.6 Ft^2
I hope this helped !
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A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3To mail a letter to Vienna, Austria the post office charges a flat rate of $9.75 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+9.75, where y is the cost of the postage and x is the weight of the letter in ounces.
Missing details
Which type of function model would be appropriate for this situation?
Answer:
Linear function
Step-by-step explanation:
Given
[tex]y = 0.50x +9.75[/tex]
Required
The function model
A function of the form:
[tex]y = mx + b[/tex]
is referred to as a linear function where
[tex]m = slope/rate[/tex]
[tex]b=y\ intercept[/tex]
By comparison:
[tex]m = 0.50\ b = 9.75[/tex]
So, it is a linear function (linear model)
-0.6 ÷ 3/4
1. 0.8
2. -0.8
3. -0.15
4. 0.15
if PQ and PR are tangent to circle S,find PQ
Answer:
From one point, you can draw two tangents to a circle. These two tangents will be equal.
Step-by-step explanation:
7x - 24 = 57 - 2x.
Rearrange the numbers (by adding 2x and 24 on both sides), we get:
7x+2x = 57 + 24
9x = 81.
x = 9.
Length of PQ = 57-2x = 57 - 18 = 39
If PQ and PR are tangent to circle S, then the value of PQ is 39.
What is tangent?"A line that touches the circle at a single point is known as a tangent to a circle."
What is circle?"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."
P is the exterior point of a circle.
PQ and PR are the tangents to circle S.
According to theorem,
The lengths of the tangents drawn from a same external point to a circle are always equal.
7x - 24 = 57 - 2x
7x + 2x = 57 + 24
9x = 81
x = 9
PQ = 7x - 24
PQ = 7(9) - 24
PQ = 63 - 24
PQ = 39
Hence, the value of PQ is 39.
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In the early 2016 there were about 80 devils living on Maria island.Of that total, 75% are offspring from the previous two breeding seasons. How many are offspring
Answer: 60 devils
Step-by-step explanation:
Question wants to know the number of offspring from the two previous breeding seasons.
There are 80 devils on the island. 75% of this 80 are from previous breeding seasons.
We need to find this 75% in whole numbers:
= Percentage of devils from previous seasons * Total number of devils
= 75% * 80 devils
= 60 devils
The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?
the width is x - 3
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True or False? When you are dividing 2 numbers, you have to check to see
if there is a decimal in the divisor. If there is a decimal in the divisor, you
have to multiply that number by a power of ten to move the decimal to the
right. You have to move the decimal the same number of times to the right
in the dividend too. Then you can divide your numbers.
Answer:
true, have a great day and i hope that helped :)
Right answer gets brainlist
3 positive 1 positive
Step-by-step explanation:
D goes 3 units right and it get to 3 Positive and then two units down gets you to 3 Positive and 1 Positive 3,1
How would you describe slope 0/-5? Brainliest for best answer!!!
A. positive
B. negative
C. 0
D. does not exist.
There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .
Answer:
34 because 50 percent of 68 is 34
Answer:
There are 34 red marbles in the bin
Step-by-step explanation:
50% is basically 1/2. So half of 68 is 34.
WILL MRAK BRAINLIESTTTT IF GOTTEN RIGHT DONT ANSWER IF U DONT KNOW!
Answer:
BC=4
Step-by-step explanation:
didn't i do this already lol
PLEASE HELP ASAP PLEASE