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katen-ka-za [31]
3 years ago
10

I have figured this question out up to here but I don't know what to do next (can you please show you're working)

Mathematics
1 answer:
kogti [31]3 years ago
8 0
The picture is not there what is the question 
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Fred and Frank play a game. Fred picks an even number X and asks Frank to add all even numbers between 0 and X (inclusive) as fa
TiliK225 [7]

Answer:

The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2

The rule of arithmetic sequence = a + d(n - 1)

Where a is the first term and n is the number of terms

So, for the even numbers between 0 and X

The first term = a = 0

d = 2

So, we need to find n at the last term which is X

∴ X = 0 + 2 ( n -1 )

∴ n - 1 = X/2

∴ n = X/2 + 1

The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)

Substitute with a and d and X

So, the sum = (n/2) * (2*0 + (n−1)*2)

                   = (n/2) * ((n−1)*2)

                   = n(n-1)

                   = (X/2 + 1) * (X/2)

                   = X/2 by (X/2 + 1)

So, The quick way to add all even numbers between 0 and X always works.

8 0
4 years ago
Melissa decided to divide her $42,000 of savings into three investments: a savings account paying 5% simple interest, a time dep
Marat540 [252]

Answer:

Amount in savings account = $24,000

amount put into time deposit account = $11,000

amount put into bond account = $7,000

Step-by-step explanation:

Let x be amount put into savings account, y be amount put into time deposit account and z be amount put into bond account.

Thus;

0.05x + 0.07y + 0.09z = 2600 - - (eq1)

Also,

x + y + z = 42,000 - - - (eq2)

Now,we are told she invested 6000 more in the savings account than the other 2 combined. Thus;

x = 6000 + y + z

So,

x - y - z = 6000 - - - (eq3)

Solving the 3 equations simultaneously gives;

x = $24,000 ; y = $11,000 ; z = $7,000

5 0
4 years ago
Jessica has an account with a credit union. Her account earns 2.2% simple interest yearly. Exactly a year and a half ago, she op
Sergeu [11.5K]
Interest earned= \frac{PRT}{100}
I=\frac{900*2.2*1.5}{100}
I= <span>$ 29.70</span>
6 0
4 years ago
If f(4) = 246.4 when r = 0.04 for the function f(t)- Pelt, then what is the
evablogger [386]

Answer:

The answer is to this is D. 210

7 0
3 years ago
Given the expression x- + 8x + 5, find the equivalent
makvit [3.9K]

Answer:

(x+4)^2-11

hope it's helpful ❤❤❤❤

❤

THANK YOU.

5 0
3 years ago
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