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vodka [1.7K]
3 years ago
6

Select the correct answer. Which sequences of transformations confirm the congruence of shape II and I?

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

the answer is 3

Step-by-step explanation:

i just did this in school

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Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account bal
Anastaziya [24]

Answer:

Jimmy's account balance will be $673.43 after 10 years.

Step-by-step explanation:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

P = 500, r = 0.03, n = 2, t = 10

What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year?

A = P(1 + \frac{r}{n})^{nt}

A = 500(1 + \frac{0.03}{2})^{2*10} = 673.43

Jimmy's account balance will be $673.43 after 10 years.

4 0
3 years ago
Write the letter for each expression in the box under the correct category in the table.
Ad libitum [116K]

Answer:

a) 9+(-3) + (-2)  = 9 -5 = 4> 0  ⇒  Positive Sum

b) -12 +1 +11  = -12  +12 5 =  0  ⇒  Zero Sum

c) -3 +8 + (-4)  = -7 + 8 -5 =-1 <  0  ⇒ Negative Sum

d)  -4+9+(-10) = 9 -14 = -5 <  0  ⇒ Negative Sum

e) 3+(-2) + (-4)  = 3  -6= -3 <  0  ⇒ Negative Sum

f) 2 + (-4) + 2  = 4 -4 =  0  ⇒  Zero Sum

Step-by-step explanation:

Positive Sum is defined as the condition in which the Sum of total of gains and losses is GREATER THAN ZERO.

Zero Sum  is defined as the condition in which the Sum of total of gains and losses is EQUAL TO ZERO.

Negative Sum is defined as the condition in which the Sum of total of gains and losses is LESS THAN ZERO.

Now, here

a) 9+(-3) + (-2)  = 9 -5 = 4> 0  ⇒  Positive Sum

b) -12 +1 +11  = -12  +12 5 =  0  ⇒  Zero Sum

c) -3 +8 + (-4)  = -7 + 8 -5 =-1 <  0  ⇒ Negative Sum

d)  -4+9+(-10) = 9 -14 = -5 <  0  ⇒ Negative Sum

e) 3+(-2) + (-4)  = 3  -6= -3 <  0  ⇒ Negative Sum

f) 2 + (-4) + 2  = 4 -4 =  0  ⇒  Zero Sum

5 0
3 years ago
Lebron scores 70% of his free throws, how many baskets will he make
nikklg [1K]
Answer:
21 shots left
Step-by-step explanation:
70% of 30 is how you get your answer
3 0
3 years ago
How do i solve 7 + x /3 = 2x - 5
ExtremeBDS [4]

Step-by-step explanation:

7 + x/3 =2x - 5

7 + 5=2x - x/3

12 = 5x/3

cross multiply

36=5x

x=36/5

x=7.2

3 0
3 years ago
You purchase boxes of cereal until you obtain one with the collector's toy you want. If, on average, you get the toy you want in
Zina [86]

Answer:

The probability of getting the toy you want in any given cereal box is p=0.056.

Step-by-step explanation:

On average, you get the toy you want in every 18th cereal box.

This value corresponds to the mean of a geometric distribution, where it is expected that you get 17 "failures" before the first "success".

The mean of the geometic distribution, whose value is 18, can be written as:

E(X)=\dfrac{1}{p}=18

where p is the probability of "success": getting the collector's toy you want.

Then, p has a value of 1/18≈0.056.

5 0
3 years ago
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