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defon
3 years ago
6

Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 2

8%. (a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal. Year-end amount = 1 x Original amount​
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

Step-by-step explanation:

Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:

100 - 28 = 72

8,600 x 0.72 = X

6.192 = X

Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

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Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses
sweet [91]

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

So, we have

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

x = 40

Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

3 0
3 years ago
Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5.
Elena-2011 [213]
Let's notice, the focus is at (5,0) and the directrix at x = -5.

keep in mind that there's a distance "p" from the vertex to either of those fellows, therefore, if the focus is at 5,0 and the directrix x = -5, the vertex is half-way between them, check the picture below.

notice the distance "p" there, now, is a horizontal parabola, opening to the right, meaning the value for "p" is positive, or just 5, thus

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})}
\\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}})
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=0\\
k=0\\
p=5
\end{cases}\implies (y-0)^2=4(5)(x-0)\implies y^2=20x
\\\\\\
\cfrac{y^2}{20}=x\implies \cfrac{1}{20}y^2=x

8 0
3 years ago
What is a angle for 40?
Vika [28.1K]
What are you trying to ask can you post a pic with the exact question?
8 0
3 years ago
^^^^^^^^^^^^^^^^^^^^
telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

-  \frac{10}{19}  \div ( -  \frac{5}{7} )

We multiply by the reciprocal of the second fraction:

-  \frac{10}{19}   \times  ( -  \frac{7}{5} )

We cancel out the common factors to obtain:

-  \frac{2}{19}   \times  ( -  \frac{7}{1} )

We multiply to get

\frac{ - 2 \times  - 7}{19 \times 1}

This simplifies to :

\frac{14}{19}

The correct answer is C

7 0
3 years ago
Read 2 more answers
Metal A has a density of 12.7 g/cm3.
stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

Learn more on Calculating density here: brainly.com/question/13986137

#SPJ1

5 0
2 years ago
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