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yulyashka [42]
3 years ago
5

SAVINGS ACCOUNT

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer:

$4000 was invested at 4%, 2500 was invested at 3%

Step-by-step explanation:

First and foremost the question has to be define.

Total amount raised is $6500

Savings account percentage simple interest =3%

Government Bond: 4% simple interest

Equation for amount invested at each rate:

(6500-x)0.03 + 0.04x = 235

195 - 0.03x + 0.04x = 235

0.01x = 40

x = 4000

$4000 was invested at 4%, 2500 was invested at 3%

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Ephraim took a friend for a birthday dinner. The total bill for dinner was $30.29 (including tax and a tip). If Ephraim paid a 2
notka56 [123]

Answer:

x= 30.29 (1-0.223) = 23.54

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

Step-by-step explanation:

For this case we assume the following notation:

T= 30.29 represent the total paid for the dinner

x represent the amount before adding the tip

f =0.223 represent the fraction of the total amount destined to the tip

Based on this we can create the following relationship between T and x:

T = f*T + (1-f)T = f*T + x

And we can solve for x from the previous equation like this:

x = T - f*T

Taking T common factor we got:

x = T (1-f)

And if we replace we got:

x= 30.29 (1-0.223) = 23.54

And the amount destined to the tip would be fT = 0.223*30.29=6.75

And if we add the two values we see that:

23.54+6.75 = 30.29 representing the total cost.

So then the correct answer for the question:

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

4 0
3 years ago
A family wants to rent a car to go on vacation. Company A charges ​$30.50 and 11¢ per mile. Company B charges ​$60.50 and 16¢ pe
Marysya12 [62]

Answer:

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Step-by-step explanation:

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3 years ago
When adding integers with the same sign you should
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Answer:

To add integers having the same sign, keep the same sign and add the absolute value of each number.

Step-by-step explanation:

hope it help

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Slope = 9
i did the same thing
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2 years ago
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