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tensa zangetsu [6.8K]
2 years ago
10

Last year, Deandre opened an investment account with S5800. At the end of the year, the amount in the account had increed by 7.5

%. How much is this
increase in dollars? How much money was in his account at the end of last year?
Increase in amount: $
Year-end amount: $
Mathematics
1 answer:
nata0808 [166]2 years ago
5 0

Answer:

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 5800

R = 7.5

T = 1 year

I = (5800 × 7.5 × 1)/100 = $435

Therefore,

The increase in amount is $435

The Year-end amount is

5800 + 435 = $6235

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Molodets [167]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Equation of line passing through given points :

Let's proceed with two point form ~

\qquad \sf  \dashrightarrow \: y - y1 =  \cfrac{y2 - y1}{x2 - x1} (x - x1)

Assume :

\qquad \sf  \dashrightarrow \: y - 3=  \cfrac{3 - 3}{ - 4 - 6} (x - 6)

\qquad \sf  \dashrightarrow \: y - 3=  \cfrac{0}{ - 10} (x - 6)

\qquad \sf  \dashrightarrow \: y - 3 = 0

\qquad \sf  \dashrightarrow \: y = 3

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1 year ago
Please explain the how you got the answers thanks asap
stich3 [128]

Answer:

a) 90 stamps

b) 108 stamps

c) 333 stamps

Step-by-step explanation:

Whenever you have ratios, just treat them like you would a fraction! For example, a ratio of 1:2 can also look like 1/2!

In this context, you have a ratio of 1:1.5 that represents the ratio of Canadian stamps to stamps from the rest of the world. You can set up two fractions and set them equal to each other in order to solve for the unknown number of Canadian stamps. 1/1.5 is representative of Canada/rest of world. So is x/135, because you are solving for the actual number of Canadian stamps and you already know how many stamps you have from the rest of the world. Set 1/1.5 equal to x/135, and solve for x by cross multiplying. You'll end up with 90.

Solve using the same method for the US! This will look like 1.2/1.5 = x/135. Solve for x, and get 108!

Now, simply add all your stamps together: 90 + 108 + 135. This gets you a total of 333 stamps!

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