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1 year ago

Your bank account has -$30, and you deposit $7 daily. How much money is your account after 5 days? Show you work with the Unit!

Mathematics

1 answer:

Ganezh [65]1 year ago

7 0

The amount in the account after the daily deposit for 5 days is $5

<h3>How to determine the amount in the account?</h3>

The given parameters i the question are represented as follows

Initial balance = -$30

Daily deposit = $7

Number of days of deposit = 5

The equation that represents the amount in the account is represented as

Amount = Initial balance + Daily deposit * Number of days

Substitute the known values in the above equation So, we have the following equation

Amount = -30 + 7 * 5

Evaluate

Amount = 5

Hence, the amount is $5

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2 years ago

22+(-18) find the sum of the answer

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3 years ago

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Jane’s buying clothes. She can get 5 shirts & 4 sweaters for $229 or she can get 2 shirts & 3 sweaters for $128. How muc

makkiz [27]

Cost of 1 shirt is $\$25$ and cost of one sweater is $\$26$

<u>Solution: </u>

Given that Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for $\$229$

She can get 2 shirts & 3 sweaters for $\$128$

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt = $\$x$

And assume cost of 1 sweater = $\$y$

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater = $\$229$

$\begin{array}{l}{\text { cost of 5 shirts }=5 \times \text { cost of 1 shirt }=5 \times x=5 x} \\\\ {\text { cost of 4 sweater }=4 \times \text { cost of 1 sweater }=4 \times y=4 y}\end{array}$

So using first condition equation which we get is as follows

$5 x+4 y=229 \rightarrow (1)$

Second condition is Cost of 5 shirt + cost of 4 sweater = $\$128$

$\begin{array}{c}{\text { cost of } 2 \text { shirts }=2 \times \text { cost of } 1 \text { shirt }=2 \times x=2 x} \\\\ {\text { cost of } 3 \text { sweater }=3 \times \text { cost of } 1 \text { sweater }=3 \times y=3 y}\end{array}$

So using second condition equation which we get is as follows

$2 \mathrm{x}+3 \mathrm{y}=128\quad\rightarrow (2)$

Now we have two equations to be solved

$\begin{array}{l}{5 x+4 y=229 \rightarrow (1)} \\\\ {2 x+3 y=128 \rightarrow (2)}\end{array}$

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

$\begin{array}{l}{2 x(5 x+4 y)=2\times 229} \\\\ {10 x+8 y=458 \rightarrow (3)} \\\\ {5 x(2 x+3 y)=5 \times 128} \\\\ {10 x+15 y=640 \rightarrow (4)}\end{array}$

On subtracting (3) from (4), we get

$\begin{array}{l}{(10 \mathrm{x}-10 \mathrm{x})+(15 \mathrm{y}-8 \mathrm{y})=640-458} \\\\ {\Rightarrow 7 \mathrm{y}=182} \\\\ {\Rightarrow \mathrm{y}=\frac{182}{7}=26}\end{array}$

On substituting y = 26 in equation (1) we get

$\begin{array}{l}{\Rightarrow 5 \mathrm{x}+(4 \times 26)=229} \\\\ {\Rightarrow 5 \mathrm{x}=229-104} \\\\ {\Rightarrow 5 \mathrm{x}=125} \\\\ {\Rightarrow \mathrm{x}=\frac{125}{5}=25}\end{array}$

Cost of 1 shirt = $\$x = \$25$

Cost of 1 sweater = $\$y = \$26$

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3 years ago

Need help with the domain and range

Dmitry_Shevchenko [17]

Domain is basically all of x values.

Range is basically all of y values.

That means if you want to find the domain, you can check from the coordinate-x and if you want to find the range, you can check from the coordinate-y.

As you can see in the graph, there are the colored and non-colored dot. Both present the inequality symbol. If it's a colored circle/dot then it's either ≤ or ≥ but if it is non-colored dot then it's either > or <

From the graph, we can say that the minimum value is at -4 when x = -5

and there is no maximum value considering the x = 1 then y = 7 isn't counted due to being uncolored dot.

As mentioned, Domain is the set of all x values. We check the coordinate-x plane and notice that it begins from x = -5 to x = 1. That means it is -5≤x<1

Remember that the x = 1 one is uncolored so it's either > or < but it is < because 1 has more value than -5. Now we know the domain.

About range, we check coordinate-y plane. It starts from -4 to 7. Therefore, the range is -4≤y<7.

Therefore, <em>Domain is -5≤x<1 and Range is -4≤y<7</em>

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2 years ago