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3 years ago

Michael's bank account opened with $100. 5 weeks after opening, his account balance was $250.

Mathematics

1 answer:

cupoosta [38]3 years ago

8 0

I am pretty sure it is $400. sorry if i’m wrong

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How do I solve <br> This I need help

Delvig [45]

So we have:

xk = v + w solve for x
divide both sides by k to isolate the variable x:

x = (v+w)/k

^^This is your answer!

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6 0

3 years ago

Casey buys a bracket for. She pays for the bracelet and pays $0.72 in sales tax. The sales tax is 6%. What is the Original price

iren2701 [21]

Answer:

$12

Step-by-step explanation:

amount of tax = $0.72

percent of tax= 6%

Let the original cost be x

so that

6% of x= 0.72

solve for x

6/100*x= 0.72

0.06x= 0.72

divide both sides by 0.06

x= 0.72/0.06

x=$12

Hence the cost is $12

3 0

3 years ago

Evaluate the following expression when x=-4 and y=4<br> x³-x /4y<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D" id="Tex

Simora [160]

Answer: - 60

Step-by-step explanation:

$\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60$

7 0

2 years ago

A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin

Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

$x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2} or \frac{30-21.21 }{2}\\ = \frac{51.21 }{2} or \frac{8.79}{2}\\ = 25.605 or 4.395$

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0

3 years ago

PLEASEEE HELPPPP!!!!!!!!!skkaksks

Vesnalui [34]

Step-by-step explanation:

(√3+√7)(√3+√7)
(√3)^2+[(√3*√7)+(√3*√7)]+(√7)^2
3+2√21+7
10+2√21

6 0

2 years ago