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3 years ago

Write an integer for this situation: I deposited 25 dollars into my bank account. dollars

Mathematics

1 answer:

Vikentia [17]3 years ago

7 0

Given:

I deposited 25 dollars into my bank account.

To find:

The integer for the given situation.

Solution:

If any amount deposited into a bank account, then the amount in the bank increased by that amount.

We know that, positive integers represent increase and negative integers represent decrease.

If I deposited 25 dollars into my bank account, then my account balance increased by $25. Here, this situation is represents by the integer positive 25.

Therefore, the required integer for this situation is 25.

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Write a function rule to represent the sequence 0.3,0.9,1.5,2.1<br> PLease help

liraira [26]

The rule for sequence is:

$a_n=0.3+(n-1)(0.6)$

Step-by-step explanation:

To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence

We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.

So,

Here

$a_1=0.3\\a_2=0.9\\a_3=1.5\\a_4=2.1\\d=a_2-a_1=0.9-0.3=0.6\\a_3-a_2=1.5-0.9=0.6$

The common difference is same so the sequence is an arithmetic sequence.

The explicit formula for an arithmetic sequence is:

$a_n=a_1+(n-1)d\\$

Putting the values of d and a_1 we get,

$a_n=0.3+(n-1)(0.6)$

Hence,

The rule for sequence is:

$a_n=0.3+(n-1)(0.6)$

Keywords: Functions Rule, Arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

1-Suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the ho

jasenka [17]

Answer:

1. The correct option B.

2.The correct option A.

Step-by-step explanation:

The given function is

$f(d)=-0.6d^2+5.4d+0.8$

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

$0=-0.6d^2+5.4d+0.8$

Quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using the quadratic formula we get

$d=\frac{-5.4\pm \sqrt{(5.4)^2-4(-0.6)(0.8)}}{2(-0.6)}$

$d=-0.146,9.146$

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

$9.146\approx 9.15$

Therefore the correct option is B.

The given equation is

$y=(x-1)^2+1$ .... (1)

The standard form of parabola is

$y=a(x-h)^2+h$ .... (2)

Where, a is constant and (h,k) is vertex.

On comparing (1) and (2), we get

$a=1$

$h=1$

$k=1$

Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).

Put x=0 in the given equation.

$y=(0-1)^2+1$

$y=1+1=2$

Therefore the y-intercept is (0,2) and option A is correct.

8 0

3 years ago

A store is having a sale on chocolate chips and walnuts. For 2 pounds of chocolate chips and 12 pounds of walnuts, the total cos

lesantik [10]

<span>6x + 10y = 32 (mult. eq by 2)
6x + 2y = 22
subtract:
8y = 10

y = 1 0/8 = 1.25
x = 16 - 5y = 9.75
cost/lb of walnuts = $1.25
cost/lb of chocolate chips = $9.75</span>

3 0

3 years ago

please help me sorry about the other question I was just trying to fix it but other people came in and were writing things... no

andrew11 [14]

Answer:

$27.93

Step-by-step explanation:

First, add the tax rate.

24.20 * 1.03

Then, add the tip.

sum + 3

Now, round to the nearest penny, and we get $27.93.

8 0

3 years ago

Simplify the following expression. -3 + 9

lisabon 2012 [21]

-3+9= 6 hope this helped!

6 0

3 years ago

Read 2 more answers