Roberto deposits $3,000 into 2 different savings accounts.

Mathematics

1 answer:

KonstantinChe [14]2 years ago

3 0

The total balance of the amount of money deposited into the account at the end of 4 years is $3194.76.

<h3>What is the total balance?</h3>

Simple interest rate is the interest that is paid only on the principal portion of the amount deposited. Compound interest is when interest is earned on the amount deposited and the interest accrued.

Compound value = amount deposited x (1 + interest rate) ^number of years

800(1.0125)^4 = $840.76

Future value of the account with simple interest = amount deposited + (principal x time x interest rate)

2200 + (2200 x 0.0175 x4) = $2354

Total value = 2354 + 840.76 = $3194.76

To learn more about compound interest, please check: brainly.com/question/26367706

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Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

$y=-\frac{1}{2} (1)-2$

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.