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3 years ago

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3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interes

t for the year is $170, then how much is invested in each account?

1 answer:

ratelena [41]3 years ago

3 0

Answer:

threee

Step-by-step explanation:

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A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

8 0

3 years ago

Write a polynomial function of least degree with integral coefficients that has the given zeros of 5 and -2i

vova2212 [387]

Hello :
f(x) = (x-5)(x+2i)
= x² +2ix -5x-10i
f(x) = x² +(2i-5)x -10i
<span>coefficients : a =1 b = 2i-5 c =-10i</span>

5 0

3 years ago

Pls help will give Brainlyist

kvasek [131]

Answer:

B

Step-by-step explanation:

7 0

3 years ago

URGENT! how can you use subtraction to describe division?

bazaltina [42]

Answer:

Just like multiplication is adding the same number multiple times, dividing can be described as subtracting the same number multiple times.

Ex:

4 x 3 = 12

4 + 4 + 4 = 12

8/2 = 4

8 -2 -2 = 4

4 0

3 years ago

The areas of two similar octagons are 9 m² and 25 m². What is the scale factor of their side lengths? PLZ HELP PLZ PLZ PLZ

torisob [31]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Let the side length for the octagon having 9m² as area = x

Side length for the octagon having area of 25m² = y.

Thus:

$\frac{9}{25} = (\frac{x}{y})^2$ (area of similar polygons theorem)

The scale factor of their sides would be $\frac{x}{y}$ . Which is:

$\sqrt{\frac{9}{25}} = \frac{x}{y}$

$\frac{\sqrt{9}}{\sqrt{25}} = \frac{x}{y}$

$\frac{3}{5} = \frac{x}{y}$

Scale factor of their sides = $\frac{3}{5}$

6 0

3 years ago