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2 years ago

The base of an open rectangular box is of length (2x + 5) cm and width x cm.

Mathematics

1 answer:

Yakvenalex [24]2 years ago

7 0

Answer:

$2 {x}^{2} + 5x - 58 = 0$

Step-by-step explanation:

The base of an open rectangular box is of length (2x + 5) cm and width x cm.

The area of a rectangle is

$= length \times width$

We substitute the dimensions in terms of x.

The area of the base is

$= x(2x + 5)$

This is equal to 58 as stated in the question.

This implies that:

$x(2x + 5) = 58$

Expand to get:

$2 {x}^{2} + 5x = 58$

Rewrite in standard form:

$2 {x}^{2} + 5x - 58 = 0$

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2 years ago

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2 years ago

5. Whitney deposits $9,000 for 2 years. She compares two different banks. State

Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

$A=P(1+r)^t$

And, amount formula in continuously,

$A=Pe^{rt}$ ,

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

$A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969$

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

$A=9000e^{0.0201\times 2} = \$ 9369.171$

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

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