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3 years ago

Step by step please ASAP

Mathematics

1 answer:

fenix001 [56]3 years ago

3 0

Answer:

-2x^2 - 2

Step-by-step explanation:

(6x^2 + 3) - (5 + 8x^2)

-2x^2 + 3 - 5

-2x^2 - 2

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Linda has d dollars in an account that pays 1.4% interest, compounded weekly. She withdraws w dollars. Express her first week’s

Fittoniya [83]

Answer:

If the 1.4% rate of interest is the weekly rate of interest, Then, total first week interest = 1.4(d - w)/100 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate of interest compounded weekly, then her total first week interest = 7(d - w)/2600 = 0.00269 (d - w)

Step-by-step explanation:

The interest, I = PRT

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/week

T = time = 1 week

If the 1.4% rate of interest is the weekly rate of interest

I = PRT = (d - w) × 0.014 × 1 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate if interest compounded weekly,

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/year

T = time = 1 week = (1/52) years

I = PRT = (d - w) × 0.014 × (1/52) = 7(d - w)/2600 = 0.00269 (d - w)

Hope this Helps!!!

7 0

4 years ago

Read 2 more answers

the vertex of this parabola is at (3,5). When the y-value is 6, the x-value is -1. What is the coefficient of the squared term i

otez555 [7]

Now, assuming is a vertical parabola, so the squared variable is the "x", let's do some checking.

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=3\\
k=5
\end{cases}\implies y=a(x-3)^2+5
\\\\\\
\textit{we also know that }
\begin{cases}
y=6\\
x=-1
\end{cases}\implies 6=a(-1-3)^2+5
\\\\\\
1=a(-4)^2\implies 1=16a\implies \cfrac{1}{16}=a$

6 0

3 years ago

MATH ............................................

Aneli [31]

It must be true that a implies c, because of the transitive property.

If a is true, then b is true as well. But every time b is true, c is true as well.

So, "jumping" over b, we have that if a is true, c is true as well.

Think of this example:

a: I live in Rome
b: I live in Italy
c: I live in Europe

It is true that $a\implies b$ , because Rome is inside Italy, and similarly $b\implies c$ , because Italy is a European state.

So, if I live in Rome, I must live in Europe as well.

3 0

3 years ago

a microscopic organism is shown in a Biology book with a length of 5.6 centimeters. If the scale of the picture is 2000:1, find

Assoli18 [71]

Assuming that 2000:1 is a ratio of unknown units to centimeters, we can use proportions to find the actual length of the organism.

$\frac{2000}{1} = \frac{x}{5.6}$

x = 2000(5.6)

x = 11200

The actual length of the organism is 11,200 units.

7 0

4 years ago

Create a system of linear equations that has the solution (3,5)?

Tasya [4]

Answer:

x + 2y = 13
3x - y = 4

Step-by-step explanation:

I find it easiest to write the equations in standard form, as above. You just need to pick numbers for the x- and y-coefficients, then see what the left-side evaluates to. I wanted the x-coefficients to be different, and one of the y-coefficients to be negative. (The x-coefficients need to be positive when the equation is written in <em>standard form</em>.)

_____

<em>Check</em>

3 +2·5 = 3 +10 = 13 . . . first equation works

3·3 -5 = 9 -5 = 4 . . . . . second equation works

7 0

4 years ago