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3 years ago

Stephan places £950 in his bank account which pays 1.6% simple interest per year.

Mathematics

1 answer:

ella [17]3 years ago

8 0

Answer:

A. He will earn £15.2 each year

B. After one year he will have £965.2 in his account

Step-by-step explanation:

Applying the simple interest formula

A = P (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years

Given data

Principal p= £950

Rate r= 1.6% =1.6/100= 0.016

Time t= 1 year

Substituting in our simple interest formula we have

A= 950(1+0.016*1)

A= 950(1+0.016)

A= 950(1.016)

A= £965.2

Interest = final amount - principal

= 965.2-950

= £15.2

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Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Since they both share Leg DC, their hypotenuse should be congruent to use this proof.

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2 years ago

Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.

kozerog [31]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

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1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step: 1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

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$x = \frac{1750}{1000}$

x = 1.75g

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Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

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x = 0.25g

825,000 μg = 0.25g

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2 years ago

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3 years ago

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Nitella [24]

Answer:

1. 4/12, 3/9, 2/6, 5/15

2. 4/8, 8/16, 6/12

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Step-by-step explanation:

I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.

1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.

To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.

Step 1: reduce answer choices

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4/10 = 2/5 (divide both by 2)

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2/5 = 2/5 (fully reduced)

4/12 = 1/3 (divide both by 4)

5/10 = 1/2 (divide both by 5)

1/2 = 1/2 (fully reduced)

3/9 = 1/3 (divide both by 3)

2/6 = 1/3 (divide both by 2)

5/15 = 1/3 (divide both by 5)

3/8 = 3/8 (fully reduced)

3/4 = 3/4 (fully reduced)

2. This question is solved the same way as question 1.

Step 1: reduce answer choices

2/5 = 2/5

6/9 = 2/3

4/8 = 1/2

3/9 = 1/3

8/16 = 1/2

8/10 = 4/5

7/12 = 7/12

6/12 = 1/2

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Step 1: reduce answer choices

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4/9 = 4/9

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6/9 = 2/3

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6/9 = 2/3

12/16 = 3/4

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1 year ago