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ss7ja [257]
3 years ago
9

A person plans to invest a total of $3500 in one bank account at 2.2% annual interest and another bank account at 17% annual int

erest. How much should he invest in each account so that the total interest in one year will be $151?
Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

Answer:

$435.3

Step-by-step explanation:

Assuming simple interest

Interest, I=Pi/100 where P is principal amount and i is rate of interest in percentage

For $3500, the interest will be 3500*2.2/100=$77

From total target of $151, the person is less 151-77=$74

Taking x as principal and rate of interest as 17% then

0.17x=74

X=74/0.17=$435.2941176470

Rounded off as $435.3

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A chicken farmer also has cows for a total of 30 animals, and the animals have 66 legs in all. How many chickens does the farmer
hammer [34]

Answer:

27 chickens

Step-by-step explanation:

A chicken farmer also has cows for a total of 30 animals

Both animals have a total of 66 legs

Let a represent the number of chicken

Let b represent the number of cows

a + b= 30........equation 1

Since a chicken has only two legs and a cow has four leg then, the expression can be represented as

2a + 4b= 66........equation 2

From equation 1

a + b= 30

a = 30-b

Substitute 30-b for a in equation 2

2a + 4b= 66

2(30-b) + 4b= 66

60 - 2b + 4b= 66

60 + 2b= 66

2b= 66-60

2b= 6

b= 6/2

b= 3

Substitute 3 for b in equation 1

a + b = 30

a + 3=30

a= 30-3

a= 27

Hence the farmer has 27 chickens

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3 years ago
What is the answer to this question ?
nirvana33 [79]

Answer:

If you go to a website with a graph place the points and look where the line sets

Step-by-step explanation:

7 0
3 years ago
A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that nor
maw [93]

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

6 0
3 years ago
Which graph represents the solution set of the system of inequalities?
Lyrx [107]
The answer to this is D
4 0
3 years ago
Read 2 more answers
How many solutions does the system have? \begin{cases} 5y =15x-40 \\\\ y = 3x-8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5y=15x−40 y=3x−8 ​ C
Ksenya-84 [330]

Answer:

(C) Infinitely many solutions

Step-by-step explanation:

Converting the lines into the from ax+by+c=0

5y=15x-40\\\Rightarrow 15x-5y-40=0

y=3x-8\\\Rightarrow 3x-y-8=0

\dfrac{a_1}{a_2}=\dfrac{15}{3}=5

\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5

\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5

So, \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}.

Hence, these lines have infinitely many solutions.

3 0
3 years ago
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