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Deffense [45]
3 years ago
10

Interest rates of 5%,6%,8%, earned on investments of $13,000,$12,000,$4,000. Calculate total amount of interest earned

Mathematics
1 answer:
Mariana [72]3 years ago
7 0
13,000*0.05+12,000*0.06+4,000*0.08=1,690.00
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The first and second terms of a linear sequence (A.p) are 3 and 8 respectively. Please determine the least Number of terms of Ap
Alla [95]

Answer:

To rewrite your question, you are looking for the smallest    that fulfills the inequality:

∑=1>250

First, we must find the sequence    in explicit form. We can think of it as a line we are trying to get the slope-intercept form of. We have the points (1, 3) and (2, 8). Therefore, the slope is  8−32−1=51=5 . Now we just need the y-intercept. We can find it through substitution:

=5+

In order to solve for   , we can plug in one of the points that we were already given. I will choose the point (1, 3). Note that this point just means that when  =1 ,  =3 .

3=5(1)+

3=5+

=−2

Now for the original question.

∑=1(5−2)>250

((5(1)−2)+(5()−2)2)>250

(5+12)>250

522+12>250

2+15>100

2+15+1100>100+1100

(+110)2>100+1100

(+110)2>10001100

+110>±10001100‾‾‾‾‾‾‾√

+110>±11010001‾‾‾‾‾‾√

>−110±11010001‾‾‾‾‾‾√

Since we are looking for the smallest value, we will subtract for the plus or minus sign.

>−110−11010001‾‾‾‾‾‾√≈−10

Since that is negative, we will have to add instead.

>−110+11010001‾‾‾‾‾‾√≈9.9

Therefore, the smallest integer    that makes sense and satisfies the inequality is 10.

So, the first 10 numbers must be added.

Honestly, it would have been quicker just to brute-force this.

Step-by-step explanation:

Have a good day

8 0
2 years ago
123,456.78901 to ten – thousandths<br> -
dezoksy [38]

Answer:

123,456.789

Step-by-step explanation:

The ten thousandth place is less than 5.

5 0
2 years ago
Read 2 more answers
Five times a certain number, minus 5, is equal to 7 more than three times the number. What is the number
JulijaS [17]

Answer:

6

Step-by-step explanation:

let’s start with putting the unknown to x, in this case it is the number.

5x-5=7+3x, so now we just solve this equation.

5x-3x=7+5

2x=12

x=6

4 0
2 years ago
Rewrite the following equation in slope-intercept form.
ahrayia [7]
Pretty Sure it’s y=x+(-.8) haven’t done algebra in a bit. Sorry if wrong. :/
8 0
2 years ago
What the answer to this problem
g100num [7]

The equation:

(x-10)+40+(x-20)+3x=360\\\\(x+x+3x)+(-10+40-20)=360\\\\5x+10=360\ \ \ \ |-10\\\\5x=350\ \ \ \ |:5\\\\x=70

8 0
2 years ago
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