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2 years ago

14

Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Gi

ve your answer to the nearest penny where appropriate.

1 answer:

Rama09 [41]2 years ago

3 0

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

A = Amount after t years

P = Initial amount invested = £1850

r = Interest rate = 2.7%

t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

A = £1850(1 + (0.027 × 3))

A = £1999.85

Therefore, Brian will have £1999.85 after 3 years.

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A company buys paper clips at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $3.50 p

BlackZzzverrR [31]

Answer:

46 boxes

Step-by-step explanation:

First 10 boxes can be bought for $7.5*10=75$
Next 10 boxes can be bought for $5.5*10=55$

<em>So for a total of </em><em>20 boxes, </em><em>the cost is $75+55=130$ </em>

<u>We have remaining $221-130=91$ </u>

Each additional box costs 3.5, so for 91 dollars, we can get:

$\frac{91}{3.5}=26$ boxes

So, total $10+10+26=46$ boxes can be bought for $221.00

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Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of

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Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that $P(B) = 0.1$

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that $P(A|B) = 0.995$

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

$P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067$

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

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2 years ago

What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?

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Answer:

Step-by-step explanation:

1. regroup terms

$125x^3+343+525x^2+735x$

2. Rewrite $125x^3$ as $(5x)^3$ and 343 as $7^3$

$(5x)^3+7^3+525x^2+735x$

3. Since both terms are perfect cubes, factor using the sum of cubes formula, $a^3+b^3 = (a+b)(a^2-ab+b^2)$ , where $a=5x$ and $b=7$

$(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x$

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4. Factor $105x$ out of $525x^2+735x$

$(5x+7)(25x^2-35x+49)+105x(5x+7)$

5. Regroup

$(5x+7)(25x^2-35x+49+105x)$

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6. Factor again

$(5x+7)(5x+7)^2$

$(5x+7)^3$

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2 years ago

Read 2 more answers

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hjlf

Answer:

See below

Step-by-step explanation:

<u>Given points:</u>

S(-3,6),T(0,7),U(1,4),and V(-5,2)

<u>Translation rule: </u>

(x,y) → (x+7,y-9)

<u>New coordinates by applying the rule:</u>

S'(4, -3), T'(7, -2), U'(8, -5), V'(2, -7)

See attached for the graph

The blue trapezoid is STUV and the red one is S'T'U'V'

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