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2 months ago

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Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50

. Enzel decides to buy his graphing calculator, with a price tag of $83, at this site because he knows that he will get the 15% discount when he checks out. Enzel pays 4.5% sales tax on the discounted price and pays a shipping fee of $6.35. What is the total of Enzel’s online purchase?

2 answers:

babunello [11.8K]2 months ago

8 0

In order to determine the reduced price, we'll first need to calculate it. For a percentage decrease, we apply the following formula:

(1 - p)m

(p = percentage in decimal format and m = original value)
In our instance:

Once we've established the discounted amount, we need to add the 4.5% sales tax, which will require using this formula for a percentage increase:

$15\% = 0.15\\\\(1-0.15)*83\\0.85*83\\70.55$ (1 + p)m

In this situation:

Finally, we'll combine the shipping costs:

$4.5\%=0.045\\\\(1+0.045)*73.55\\1.045*70.55\\73.72$ Response

Enzel's total expenditure amounts to $80.07. $73.72+6.35=80.07$

Zina [12.3K]2 months ago

3 0

Response:

A) $80.07

Detailed explanation:

for those who prefer not to engage in learning:)

ED2020

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Answer: Zeno consumed 51 hot dogs.

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Step-by-step explanation:

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The formula for finding the nth term in an arithmetic series is given by

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d signifies the common difference.

n stands for the total terms in the sequence.

<pBased on the details provided,

a = 1 hot dog

d = 3 - 1 = 2 hot dogs

We aim to find how many hot dogs the 26th contestant, T26, consumed. Thus,

T26 = 1 + (26 - 1)2 = 1 + 50

T26 = 51 hot dogs

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Sn = n/2[2a + (n - 1)d]

Hence, to find the total number of hot dogs consumed by 26 contestants, S26 is calculated as

S26 = 26/2[2 × 1 + (26 - 1)2]

S26 = 13[2 + 50]

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Leona [12618]

Let's sketch the triangle.

The sides are a= 37.674 miles

b= 11.164 miles

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(since the sine law cannot be employed without knowing any angle measurements).

The cosine law is given by

$c^{2} = a^{2} +b^{2} -2ab cos C$

Substituting the values results in

$(36.318)^{2} = (37.674)^{2} + (11.164)^{2} - 2(37.674)(11.164). Cos C$

$1318.997 = 1419.33 + 124.634 - 841.184. Cos C$

$1318.997 = 1543.964 - 841.184. Cos C$

$841.184. Cos C = 1543.964-1318.997$

$841.184. Cos C = 224.967$

$Cos C = \frac{224.967}{841.184}$

$cos C = 0.267$

C = 74.48°

We can find angle A using the sine law

$\frac{a}{SinA} = \frac{c}{Sin C}$

$\frac{37.674}{Sin A} = \frac{36.318}{Sin 74.48}$

$Sin A = \frac{37.674. sin 74.48}{36.318}$

$Sin A = \frac{37.674 X 0.963}{36.318}$

$Sin A = 0.998$

A= $sin^{-1} (0.998)$

A = 87.38°

The third angle B can be determined by calculating 180° minus the sum of angles A and C

$B = 180-(74.48 + 87.38)$

B = 180 - 161.86

B = 18.14°

Thus, we have calculated all three angles (as shown in the attached figure).

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