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My name is Ann [436]

3 years ago

7

Javier invests $2,500 into an account 3.5% simple interest . What will be the total amount in the account after 5 years if no ot

her deposits are made?
a) 4,375
b) 437.50
c) 6,875
d) 2,937.50

1 answer:

katovenus [111]3 years ago

4 0

Answer:d

Step-by-step explanation:

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Explain how showing fractions with models and a number line are alike and different?

Otrada [13]

Showing fractions can be expressed in model and number line.
Using a model, you have to draw the number of parts (denominator) and shade the number of parts (numerator).

Using a number line, the line starts from 0 to the number of the denominator. You put a marker to the number that is the same as the numerator.

Both model and number line use the value of the numerator and denominator. What makes them different is how they are presented. Model can easily be understood compared to number line.

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3 years ago

Jaycee draws a sequence of squares on the coordinate plane. First she draws a square in the center with corners at 2,2 spots and

Anon25 [30]

This is based on understanding what dilation means in a graph transformation.

<em />

<em>The dilation from first square directly to sixth square will be; (x,y) -> (243, 243)</em>

<em />

In transformations, dilation of an object involves producing an image of the object that is the same shape but not the same size.

This means that if we want to dilate a square, we will produce a bigger square of a different size.

We are told one corner of the first square she drew is (2, 2). This means that one side of the square is 2 units as the four sides of a square are equal.

For the second square, she dilates the first one using (x, y) -> (3x, 3y).

This means the corner that was (2, 2) will now be (3 × 2), (3 × 2) = (6, 6)

For the third square, it will be; (3 × 6), (3 × 6) = (18, 18)

For the fourth square, it will be; (3 × 18), (3 × 18) = (54, 54)

For the fifth square, it will be; (3 × 54), (3 × 54) = (162, 162)

For the sixth square, it will be; (3 × 162), (3 × 162) = (486, 486)

Since first square was (2, 2), then it means dilation from first square directly to sixth square will be; (x,y) -> (486/2, 486/2)

⇒ (x,y) -> (243, 243)

Read more at; brainly.com/question/2523916

4 0

2 years ago

?????????????????????

valentinak56 [21]

Step-by-step explanation:

$\huge \: 2 \sqrt{x} .4 {x}^{ - \frac{5}{2} } \\ \\ \huge \: = 2.4 {x}^{ \frac{1}{2} } . {x}^{ - \frac{5}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{1}{2} - \frac{5}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{1 - 5}{2} } \\ \\ \huge \: = 8 {x}^{ - \frac{4}{2} } \\ \\ \huge \: = 8. {x}^{ - 2} \\$

4 0

3 years ago

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

4 0

3 years ago

Fill in the blanks below.

Dmitry_Shevchenko [17]

Answer:

a) <em>Slope of the line m = ∞</em>

<em>b) Slope of the line m =0</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<u><em>Step(i):-</em></u>

<em>Given points are ( 7,7) and (7,-8)</em>

<em>Slope of the line</em>

<em> </em> $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$ <em />

<em> </em> $m = \frac{-8-7 }{7-7 } = \frac{-15}{0} = infinite$ <em />

<em> m = ∞</em>

<u><em>Step(ii):-</em></u>

Given points are (-6,7) and (9,7)

<em>Slope of the line</em>

<em> </em> $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$ <em />

<em> </em> $m = \frac{7-7 }{9-(-6) } = \frac{0}{15} = 0$ <em />

<em>Slope of the line m =0</em>

6 0

3 years ago