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Aloiza [94]
3 years ago
12

Timed!!

Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer:

<h2>S.A. = 225 ft²</h2>

Step-by-step explanation:

We have a rectangle with dimensions 12 ft × 6 ft in the base of the pyramid and two pairs of triangles with a base of 12 ft and 6 ft and heights of 8 ft and 9.5 ft.

The area of a base:

A_B=(12)(6)=72\ ft^2

The areas of the triangles:

A_1=\dfrac{(12)(8)}{2}=(6)(8)=48\ ft^2\\\\A_2=\dfrac{(6)(9.5)}{2}=(3)(9.5)=28.5\ ft^2

The Surface Area:

S.A.=A_B+2A_1+2A_2

Substitute:

S.A.=72+2(48)+2(28.5)=72+96+57=225\ ft^2

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A bank offers all savings accounts 5% interest compounded annually. If one account has a principal of $100 and another
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Answer:

From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days .

Step-by-step explanation:

Given as :

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Or, $200 = $100 × (1+\dfrac{\trxtrm 5}{100})^{\textrm t}

Or, \dfrac{200}{100} = (1.05)^{\textrm t}

Or, 2 = (1.05)^{\textrm t}

Taking Log both side

Log_{10}2 = Log_{10}(1.05)^{t}

Or, 0.3010 = t Log_{10}1.05

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<u>Again </u>

Amount = Principal × (1+\dfrac{\trxtrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\trxtrm r}{100})^{\textrm t}

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Or, $2000 = $1000 × (1+\dfrac{\trxtrm 5}{100})^{\textrm t}

Or, \dfrac{2000}{1000} = (1.05)^{\textrm t}

Or, 2 = (1.05)^{\textrm t}

Taking Log both side

Log_{10}2 = Log_{10}(1.05)^{t}

Or, 0.3010 = t Log_{10}1.05

Or, 0.3010 = t × 0.0211

∴ t = \dfrac{0.3010}{0.0211}

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