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2 years ago

Solve for w 14= -7/8w , show your work

Mathematics

1 answer:

cestrela7 [59]2 years ago

3 0

Answer:

Step-by-step explanation:

14 = -7w/8

Cross multiply

-7w = 14 × 8

-7w = 112

w = 112/-7

w = -16

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the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas

katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

$A=x^2$ ....(1)

Where

x is the side of a square

$\dfrac{dA}{dt}=12\ cm^2/s$

Differentiating equation (1) wrt t.

$\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}$

When A = 81cm², the side of the square, x = 9 cm

Put all the values,

$12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s$

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0

2 years ago

Can someone help me with this

Alexxandr [17]

Answer:

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is the length and w the width ) , then

P = 2(3 $\sqrt{15}$ ) + 2( $\sqrt{15}$ ) ← distribute both parenthesis )

= 6 $\sqrt{15}$ + 2 $\sqrt{15}$

= 8 $\sqrt{15}$

5 0

1 year ago

Colin received a bonus check for 2,500$. He is going to deposit the money into his bank account that receives 5.5% simple intere

alex41 [277]

This is the concept of financial mathematics, the simple interest rate is given by:
S.I.=(PRT)/100
where:
P=principle=$2500
R=rate=5.5%
T=time=1 year
Hence;
S.I.=(5.5*2500.1)/100
=$137.5
Thus the total amount he had after 1 year will be:
2500+137.5
=$2,637.5

6 0

2 years ago

A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i

taurus [48]

Answer:

The height of building to the nearest foot is h = 36 foot

Step-by-step explanation:

We have given,

Length of ladder leaning against a building, l = 45 foot

Bottom length between ladder and the building , b = 27

Now, we need to find the height of building to the nearest foot.

Let the height of building be h.

Using Pythagoras theorem,

$l^{2} = b^{2} +h^{2}$

Here, l = 45 , b = 27 and h =?

So,

$45^{2} = 27^{2} +h^{2}$

h² = 45² - 27²

h = √(45² - 27²)

h = 36

The height of building to the nearest foot is h = 36 foot

8 0

2 years ago

Read 2 more answers

Four individuals pool money together to start a new business and agree to split the profits equally. N invests $6,000, X invests

shepuryov [24]

Answer:

15,000$

Step-by-step explanation:

According to the information given, profits are divided equally into 4 parts

Since the total profit for the first month is 100,000$ each party will receive a sum of 25,000$. This means that Y also receives the same amount

Now if the profits were divided in proportion to the investments made we first find the proportion on investment made by Y.

The total investment made is 6000$ + 2000$ + 8000$ + 4000$ = 20,000$. Out of this, the amount invested by Y is 8000$

finding the proportional profit of Y

$\frac{8000}{20000} (100000)$

=40,000$

So Y receives 40,000 - 25,000 = 15,000 less

4 0

2 years ago