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zysi [14]
3 years ago
7

Complete the patterns

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
A. 0.02 0.2 2 20 200 2000
b. 3,400,000 , 34,000 , 340 ,3.4, 0.034
c. 85700 8,570 857 85.7 8.57 0.857
d. 444 4440 44,400 444,000 4,440,000 44,400,000
e. 0.095 9.5 950 95,000 9,500,000 950,000,000
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You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6
NeX [460]

Answer:

The amount in the account in the  beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\ times Time}{100}

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

Simple\ interest = \frac{5000\times 5.5\times 5}{100}

Simple\ interest = 50\times 5.5\times 5

Simple interest = $ 1375

Amount =  Principle + Simple interest

Putting values in the above formula

Amount =  $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the  beginning of the 6th year is $ 6375 .

8 0
3 years ago
DIscrete Math
Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

  1. f : X \rightarrow Y is surjective implies there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y.
  2. If there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y, then f : X \rightarrow Y is surjective

Let us start by the first implication.

Our hypothesis is that the function f : X \rightarrow Y is surjective. From this we know that for every y\in Y there exist, at least, one x\in X such that y=f(x).

Now, define the sets X_y = \{x\in X: y=f(x)\}. Notice that the set X_y is the pre-image of the element y. Also, from the fact that f is a function we deduce that X_{y_1}\cap X_{y_2}=\emptyset, and because  f the sets X_y are no empty.

From each set X_y  choose only one element x_y, and notice that f(x_y)=y.

So, we can define the function h:Y\rightarrow X as h(y)=x_y. It is no difficult to conclude that f\circ h(y) = f(x_y)=y. With this we have that f\circ h=1_Y, and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function  h:Y\rightarrow X  such that f\circ h=1_Y.

Take an element y\in Y, then f\circ h(y)=y. Now, write x=h(y) and notice that x\in X. Also, with this we have that f(x)=y.

So, for every element y\in Y we have found that an element x\in X (recall that x=h(y)) such that y=f(x), which is equivalent to the fact that f is surjective. Therefore, the prove is complete.

3 0
3 years ago
Which one answers this equation
Rom4ik [11]

Answer:

divided

Step-by-step explanation:

none of these work but if u divided it you would get 32 noe of them give you -32

5 0
3 years ago
Manny used 8 tenth-size parts to model 8/10. Ana used fewer parts to model an equivalent fraction. How does the size of a part i
e-lub [12.9K]
It should be bigger, think of a pie:
if you cut it into 2 parts, the pieces are big
if you cut it into 4 parts, the pieces are smaller

in both parts, the AMOUNT OF PIE stays the same, the size changes

here, we cut out 8 / 10 pieces, (manny)
ana has the same WHOLE amount, but in BIGGER pieces because she has an amount less than 8.

It works if you REDUCE THE FRACTION, 8/10 can be REDUCED to 4/5, Ana's pieces should be twice as big as Manny's, but she only has 4
8 0
3 years ago
Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown be
dimaraw [331]

Answer:

The answer is first and last

Step-by-step explanation:

Edge2020

im not gonna explain cuz some    other guy got it wrong and  im just answering for anyone  who needs it

7 0
3 years ago
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