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3 years ago

In NEED OF HELP! SO Frustrating!

Mathematics

1 answer:

vitfil [10]3 years ago

6 0

ja, yo is correct, just expand that formula with your calculator

each one is 5% bigger than pevious

each one=previous+previous*5%

each one=previous*1+previous*0.05

each one=previous*(1+0.05)

each one is 1.05 times of previous

so after n years, if today year size is P then

$A=P(1.05)^n$

A=final size

so ya, after 18 years, n=18 so you get

$A=859(1.05)^{18}$

A=2067.29 microliters

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Help!! help!! help!! help!! help!! help!! help!! help!! help!!

oksian1 [2.3K]

Answer:

(8.21, -20.79)

Step-by-step explanation:

Given the simultaneous equation;

$\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29$

From 2;

a = 29 + b ....3

Substitute 3 into 1;

$\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\$

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

Hence the solution to the system of equation is (8.21, -20.79)

7 0

3 years ago

1. Use the distributive property to simplify. -7( y + 9) - (y + 4) I

Oduvanchick [21]

Answer:

-8y-67

Step-by-step explanation:

-7(y+9)-(y+4) distribute

-7y-63-y-4 combine like terms

-8y-67

i believe this is the right answer :D

4 0

3 years ago

The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to

mr Goodwill [35]

I hope this helps you

l=x+2

w=2x-5

(x+2)(2x-5)=56

2x^2-x-10=56

2x^2-x-66=0

2x +11

x -6

(2x+11)(x-6)=0

x=6

6 0

3 years ago

A washer and dryer cost $841 combined. The washer cost $59 less than the dryer. How much does the dryer cost?

konstantin123 [22]

Answer:

dryer cost = $450

Step-by-step explanation:

Given that:

washer + dryer = $841 ---- eq1

As washer costs $59 less than dryer So,

Dryer - $59 = washer

putting in eq1

Dryer + dryer - $59 = $841

2 dryers = $841 +$59

Dryer = $900/2

Dryer = $450

So the cost of washer will be:

washer = dryer - $59

Washer = $450 - $59

washer = $391

i hope it will help you!

7 0

3 years ago

Read 2 more answers

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

3 years ago