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3 years ago

Question 3 (Fill-In-The-Blank Worth 4 points)

Mathematics

2 answers:

Delvig [45]3 years ago

8 0

You take 12 * 6 = 72, then divide by two. 72 / 2 = 36 in squared

Ulleksa [173]3 years ago

7 0

Answer: the answer is 36!

Step-by-step explanation:

u multiply 1/2 x 12 x 6 = 1/2 x 72 = 36! have an amazing day!

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Mrs. Emily Francis saves RM10 000 in a bank . by the end of the eighth year , the money collected amounts to RM19 992.71.if the

Anna11 [10]

Answer:

8.85% per year

Step-by-step explanation:

To find the interest rate of a compounding interest, we use the formula:

$r=n[(\dfrac{A}{P})^{\dfrac{1}{nt}}-1]$

Before we start solving, let's break down all the variables that we have.

A = 19,992.71

P = 10,000.00

n = 2

t = 8

r = ?

Now let's put the values into the formula.

$r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{2(8)}}-1]$

$r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{16}}-1]$

$r=2[(\dfrac{19,992.71}{10,000.00})^{0.0625}-1]$

$r=2[(1.9992.1)^{0.0625}-1]$

$r=2[1.0442499885-1]$

$r=2[0.0442499885]$

$r=0.08849997699$ or $8.85%$

So the rate the Mrs. Emily Francis got from the bank was 8.85% per year.

5 0

4 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

$a_{2} = 2 * (-3)^{2+1} = 2 * (-3)^{3} = 2 * -27 = -54$

The result is -54, not -6... so it's not the right result.

Let's test answer B then:

$a_{2} = 2 * (-3)^{2-1} = 2 * (-3)^{1} = 2 * -3 = -6$

Right! Let's verify with n=5 to get 162:

$a_{5} = 2 * (-3)^{5-1} = 2 * (-3)^{4} = 2 * 81 = 162$

Confirmed, answer is B. an = 2 • (-3)^(n - 1)

3 0

3 years ago

Find the average rate of change for f(x) = x2 + 9x + 18 from x = -10 to x = 10.

Ratling [72]

With the way the equation is written, we can assume that the “x2” is x multiplied by 2.

The x2 and 9x are like terms, and can be simplified to 11x.

Our new equation is
f(x) = 11x + 18

With no exponential functions in the equation, the difference of each value’s output would be 11.

4 0

3 years ago

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

morpeh [17]

The equation of the line for this question can be stated as,

What does y = when x is -1 or

What does x = when y is 2

So since the slope of the line is 2, we can assume that B and C must be the answers but since you want one answer we need to be more accurate.

The answer is C

Because when y = 0 x = -1 and when y = 2 x = 0

5 0

4 years ago

Isolate 12 + 3n - 2 = 40

levacccp [35]

Answer: 12+ 3n - 2 = 40

+2 +2

12 + 3n = 42

-12 -12

3n = 30

(Multiply)3 3

n=10

Step-by-step explanation:

3 0

3 years ago