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2 years ago

PLEASE HELP, WILL MARK BRAINLIEST

Mathematics

1 answer:

Advocard [28]2 years ago

6 0

Answer:

principal of first loan = $7,000

principal of second loan = $5,000

Step-by-step explanation:

Let x = principal of first loan

Let y = principal of second loan

Given:

Interest rate on first loan = 8% = 0.08
Interest rate on second loan = 9% = 0.09
Total amount of interest paid = $1,010

Create two equations with the given information:

Equation 1: x + y = 12000

Equation 2: 0.08x + 0.09y = 1010

Rewrite Equation 1:

⇒ x = 12000 - y

Substitute into Equation 2 and solve for y:

⇒ 0.08(12000 - y) + 0.09y = 1010

⇒ 960 - 0.08y + 0.09y = 1010

⇒ 0.01y = 50

⇒ y = 5000

Substitute found value of y into Equation 1 and solve for x:

⇒ x + 5000 = 12000

⇒ x = 7000

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Using the distributive property to find the product (y - 4x)(y ^ 2 + 4y + 16) results in a polynomial of the form y ^ 3 + 4y ^ 2

galben [10]

Answer:

a=16

Step-by-step explanation:

The distributive property states that

$a(b+c)=ab+ac$

Therefore using the distributive property

$(y - 4x)(y ^ 2 + 4y + 16)$

= $y(y ^ 2 + 4y + 16) - 4x(y ^ 2 + 4y + 16)$

Expanding the brackets

$y ^ 3 + 4y^2 + 16y - 4xy ^ 2 - 16xy - 64x$ .....(i)

Comparing with the form

$y ^ 3 + 4y ^ 2 + ay - 4x y ^ 2 - axy - 64x$ -----(ii)

The coefficient of y in (i) is 16 which corresponds to a and the likewise the coefficient of xy

Therefore, a=16

5 0

3 years ago

HELLPPP

nika2105 [10]

Answer:

Let's solve!

Step-by-step explanation:

FACTS:

- squirrel dug 4 fewer holes than the chipmunk

- chipmunk hid 3 acorns in each of the holes it dug

- squirrel hid 4 acorns in each of the holes it dug

- each hid the same number of acorns

Solve [using the guess-and-check method]:

3 acorns * 16 holes = 48 acorns (chipmunk)

4 acorns * 12 holes = 48 acorns (squirrel)

The chipmunk (and the squirrel!!) hid 48 acorns.

Key:

w = 3 acorns

x = 4 acorns

y = 1 hole

z = total acorns

Chipmunk:

(w * 16y)

Squirrel:

(x * 12y)

Total equation:

(w * 16y) + (x * 12y) = z

Example:

(w * 16y) + (x * 12y) = z

(3 * 16) + (4 * 12) = z

|____| |____|

48 + 48 = z

|________|

96 = z

96 acorns is the answer when you use the equation to solve. Note: this equation combines the total acorns of both animals.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

4 0

3 years ago

These box plots show daily low temperatures for a sample of days in two

Xelga [282]

Answer: D

Step-by-step explanation:

4 0

3 years ago

BRAINLIEST to wherever gets this correct

schepotkina [342]

Answer:

$300\pi$ cubic feet

Step-by-step explanation:

Let r be the radius of cone and h be the height of cone.

Radius of cylinder=r

Height of cylinder=h

Volume of cone= $100\pi ft^3$

We have to find the volume of cylinder.

We know that

Volume of cone= $\frac{1}{3}\pi r^2 h$

$100\pi=\frac{1}{3}\pi r^2 h$

$r^2 h=300$

Volume of cylinder= $\pi r^2 h$

Using the formula

Volume of cylinder= $\pi (300)=300\pi ft^3$

Hence, the volume of cylinder= $300\pi$ cubic feet

4 0

3 years ago

F(x)=(x-2)(x+4) what is the y-intercept and x-intercept

GarryVolchara [31]

Answer:

x-int=-8, y-int=2,-4

Step-by-step explanation:

for the x-int

you set x to 0 then solve the equation to get -8

for the y-int

you set y(or in this case f(x)) to 0 then solve. You solve this by spilting this into 2 linear equations; x-2=0 and x+4=0, then you solve them both to get the two y-intercepts, 2 and -4

6 0

3 years ago