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3 years ago

7

Grayson has $300 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn i

n 6 years?

1 answer:

BabaBlast [244]3 years ago

4 0

Answer:

$180

Step-by-step explanation:

Interest for 1 year = 10% of $300

Interest for 6 years

= (10% × 6) of $300

= 60% of $300

= (60/100) × $300

= 60 × $3

= $180

So, he will earn $180 as interest in 6 years.

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Train a And train b leave Central Station at the same time they travel the same speed but in opposite direction with a train a h

kramer

Answer:

Both trains are traveling at 90 miles per hour.

Step-by-step explanation:

We are told that the rate is the same for both trains, and we know that the distance traveled by train a plus the distance traveled by train b equals 585 miles.

We will use $Distance=Rate* Time$ formula to solve this problem.

Train A: $D_a=R*2.5$ (Using 2.5 instead of 2 and 1/2)

Train B: $D_b=R*4$

We can set an equation to solve for rate R of trains as:

$D_a+D_b=585$

$2.5R+4R=585$

$6.5 R=585$

$R=\frac{585}{6.5}$

$R=90$

Therefore, rate of both train a and train b is 90 miles per hour.

6 0

3 years ago

Read 2 more answers

Prove that 2n^3 + 3n^2 + n is divisible by 6 for every integer n > 1 by mathematical induction. (7 marks)

notka56 [123]

Answer:

The answer is True

Step-by-step explanation:

A <em>mathematical induction</em> consists in only 2 steps:

<u>First step</u>: Show the proposition is true for the first one valid integer number.

<u>Second step</u>: Show that if any one is true then the next one is true

Finally, if first step and second step are true, then the complete proposition is true.

So, given $2*n^3+3*n^2+n$

First step: using and replacing n=2 (the first valid integer number >1)

$2*(2)^3 +3*(2)^2+2=30$

$\frac{30}{6} =5$

As the result is an integer number, so the first step is true.

Second step: using any next number, $n+1$ , let it replace

$2*(n+1)^3+3*(n+1)^2+(n+1)\\2*(n^3+3*n^2+3*n+1)+3*(n^2+2*n+1)^2+(n+1)\\2*n^3+6*n^2+6*n+2+3*n^2+6*n+3+n+1\\(2*n^3+3*n^2+n)+(6*n^2+12*n+6)$

As the First step is true, we know that

$2*n^3+3*n^2+n$ $=6*k$ ,

So let it replace in the previous expression

$6*k+6*(n^2+2*n+1)\\6*[k+(n^2+2*n+1)]$

Finally

$\frac{6*[k+(n^2+2*n+1)]}{6} =k+(n^2+2*n+1)$

where the last expression is an integer number

So the second step is true, and the complete proposition is True

5 0

3 years ago

need helpA triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(

iogann1982 [59]

Answer:

2.5

Step-by-step explanation:

The dilation is 2.5. Using the point b(0,4) and B' (0,10), divide 10/4 you get 2.5.

7 0

3 years ago

In a class room 3/10 of the students are wearing blue shirts and 3/5 are wearing white shirts there are 20 students In The class

shtirl [24]

Total number of students in the class = 36

Number of students wearing blue shirts = (1/6) * 36

= 36/6

= 6

Number of students wearing white shirts = (2/3) * 36

= 2 * 12

= 24

Then

Number of students not wearing blue or white shirts in the class = 36 - (6 + 24)

= 36 - 30

= 6

So 6 students in the class are wearing a shirt other than a blue or a white shirt. I hope the procedure is clear enough for you to understand.

5 0

3 years ago

PLS HELP MY HWS DUE IN 30 MINS AND PLS SHOW WORK TY <br> find each missing measure <br> m m

bezimeni [28]

Answer:

measure is the angle right- if so it's 76 each

180-28=152

152÷2=76

5 0

3 years ago