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4 years ago

Your fixed expenses are $1,235. 78/month. You want to save 5 months' worth for an emergency

Mathematics

1 answer:

Temka [501]4 years ago

6 0

Answer:

$514.91

Step-by-step explanation:

You want to save a total of ...

5 × $1235.78

You want to do this over a 12-month period. So, you want to save 1/12 of this total each month. The amount you're saving each month is ...

5(1235.78)/12 = 514.908333... ≈ 514.91

You must save $514.91 each month to reach the goal.

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Creating an Exponential Model

belka [17]

Answer:

P = $300

r = 0.15

n = 12

$544.61 (to the nearest cent)

$P(1+r)^t$

$524.70 (to the nearest cent)

Step-by-step explanation:

P = principal amount = $300

r = annual interest rate in decimal form = 15% = 15/100 = 0.15

n = number of times interest is compounded per unit t = 12

How much she'll owe in 4 years

P = 300

r = 0.15

n = 12

t = 4

$P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}$

= $544.61 (to the nearest cent)

Yearly compounding interest rate

$P(1+r)^t$

How much she'll owe in 4 years at yearly compounding interest

$P(1+r)^t=300(1+0.15)^4$

= $524.70 (to the nearest cent)

7 0

3 years ago

Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The latus rectum is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints:

By (2):

$F(x,y) = (2, -2-5)$

$F(x,y) = (2,-7)$

By (1):

$(x-2)^{2} = -20\cdot (-7+2)$

$(x-2)^{2} = 100$

$x - 2 = \pm 10$

There are two solutions:

$x_{1} = 2 + 10$

$x_{1} = 12$

$x_{2} = 2-10$

$x_{2} = -8$

Hence, the endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

4 0

3 years ago

Properties of 2-Dimensional Figures 1-7

Basile [38]

Answer:

1. PNT

2.RNM

3.QNM

4.UYZ

5. None

6.VYZ

7.none

Step-by-step explanation:

suplametery means when you add to angles together it will equal 180

while complementery is when to angels are added together to make 90 degrees

4 0

3 years ago

Line CD passes through points C(3, -5) and D(6, 0). What is the equation off three line CD in standard form?

Alina [70]

Standard form: Ax+By=C
first put in slope-intercept form:
slope = (0+5)/(6-3) = 5/3
pick point D: 0 = 5/3(6)+b -> b= -10
slope-intercept form: y=(5/3)x-10
multiply both sides by 3:
3y=5x-30
put in standard form:
5x-3y=30

8 0

3 years ago

Read 2 more answers

The cube of the sum of a number and 3.

Verdich [7]

The answer is 3! You got this!

3 0

2 years ago