Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?

Answer:

See the matching below

Step-by-step explanation:

Given data

We have two expressions to match

3 * 9 and 2x3x9

3 * 9= 9*3

3 * 9=3*(4+5)

2x3x9= (2*3)*9

2x3x9= 9*3*2

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

=====================================================

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

[tex]r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\[/tex]

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

[tex]r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\[/tex]

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

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Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

Answer:

4

Step-by-step explanation:

50/5+2-[3+9]-3+7

=10+2-12-3+7

=12-12-3+7

=-3+7

=4

Answer:

the correct answer is 4

Step-by-step explanation:

first your going to calculate the parentheses

[3+9]=12

which leaves the equastion as

50/5+2-12-3+7

then multiply and divide going left-right

50/5=10

which makes the equastion

10+2-12-3+7

then add and subtract going left to right so it would be

10+2=12-12=0-3=-3+7=4

Answer:

A

Step-by-step explanation:

A triangle with two angels that mesure 40

Answer:

37.5

Step-by-step explanation:

∠ABC (x) is an inscribed angle with arc AC being the arc it intercepts

An inscribed angle is equal to half the measure of its intercepted arc.

If arc AC = 75

Then x = [tex]75\frac{1}{2}[/tex]

75 / 2 = 37.5

Hence, x = 37.5

i believe the equation would be: [tex]3+\frac{1}{4} c=9[/tex] and there would be 24 pieces of cake! <3

Answer:

15°

Step-by-step explanation:

x= 89-44-30= 15°

:))

Answer:

la respuesta es 54/84

Step-by-step explanation:

54/84=0,642857

18/28=0.642857

Answer:

63

Step-by-step explanation:

There are 52.143 weeks in a year so 52.143/8.31=6.3

So 10 x 6.3= 63

Answer:

:D

Step-by-step explanation:

:DDDD

Answer:

7 million is the answer to this question

Answer:

C

Step-by-step explanation:

Answer:

D. 57 Square feet

Step-by-step explanation:

So first you do 4.5x2=9.0 then you times that by 2 so 9.0x2= 18

Next, you do 4.5x3= 13.5 then you times that by 2 so 13.5x2= 27

Lastly, you do 2x3 on one side and 2x3 on the other side. For both of those you get 6, so you do 6+6 and you get 12

Finally you do

18+27+12=57

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

y = 4

x = 104°

Step-by-step explanation:

3y = y + 8

-y -y

2y÷2 = 8÷2

2y÷2 cancels out so

8 ÷ 2 = 4

y = 4

all sides are congruent so all angles are congruent so that means that all the angles are 104°

Answer: 240

Step-by-step explanation:

Given

Shop has 12 types of bagels, 10 types of cream and a option for roast

For making a bagel there are 12 choices to select a bagel, following this there are 10 choices for cream with a option to roast

So, total no different bagels that can be made out of the given is

[tex]\Rightarrow 12\times 10\times 2\\\Rightarrow 240\ \text{types}[/tex]

Step-by-step explanation:

using this

t_n = a+ (n-1)d

Answer:

8.7

Step-by-step explanation:

14² - 11²  = x

196-121= 75

√75= 8.66

so rounding it would be 8.7

70ft is the answer I think

Answer:

Yes, Jason's work is correct.

Step-by-step explanation:

When you use the commutative property, you can swap the numbers position and still get the same answer.

Hope this helps!!

Answer:

The answer is A No, he changed the terms

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

2x+1 + x-7 = 90

3x - 6 = 90

3x = 96

x = 32

Answer:

Step-by-step explanation:

✓ A. (0, 0) [y < 3x + 2 → 0 < 2]

× B. (0, 2) [y < 3x + 2 → 2 < 2]

✓ C. (1, 4) [y < 3x + 2 → 4 < 5]

× D. (1, 7) [y < 3x + 2 → 7 < 5]

✓ E. (2, 6) [y < 3x + 2 → 6 < 8]

× F. (2, 8) [y < 3x + 2 → 8 < 8]

Answer:

Im pretty sure 7

Step-by-step explanation:

4×7=28 28-10=18

Answer:

7

Step-by-step explanation:

[tex]4(7) - 10 = 18 \\ 28 - 10 = 18 \\ 18 = 18[/tex]