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skad [1K]
3 years ago
8

Pedro and John are going on a field trip with school. Together the boys have $62 to spend on the trip. If Pedro has $15 more tha

n John, how much money does John have? Write a function rule (equation) that represents the situation.
Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

<h2>John has $23.5</h2>

Step-by-step explanation:

Step one:

we are told that their joint amount is $62

let John's amount be x

and Pedro's amount be y

so that y=x+15

Step two:

The equation to represent the situation is

62=x+(x+15)

open the bracket and solve for x we have

62=x+x+15

62=2x+15

2x=62-15

2x=47

divide both sides by 2

x=47/2

x=23.5

<u>John has $23.5</u>

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Mr. Nolan has a bank account that compounds interest
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Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

$112.039+$3028.08 = $3140.119

He later withdraws $300 for holiday shopping = $3140.119 - 300 = $2840.119

But 1 dollar = 100 cents and vice versa.

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4 0
3 years ago
Need help with this one. TY!!
xxMikexx [17]

Answer:

(a) 6x + (x + 12) = 180  

(b) m<1 = 144       m<2 = 36

Step-by-step explanation:

7x + 12 = 180

7x = 168

x = 24

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3 years ago
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Pamela's boss rewards her hard work by telling her she is receiving a 12% raise. Pamela had been earning $15 per hour. After the
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3 years ago
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Step-by-step explanation:

Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).

\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}

ES

=(4;4)−(4;−3)=

(0;7)

​

\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}

EJ

=(−5;−4)−(4;−3)=

(−9;−1)

​

cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=

∣

EJ

∣∗∣

ES

∣

ES

∗

EJ

​

cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;

a = 96,34°

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