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photoshop1234 [79]
2 years ago
9

Identify the slope and y intercept of the line having equation y=-8x-15

Mathematics
1 answer:
Harrizon [31]2 years ago
3 0

Answer: the slope would be a negative slope with -15 as the y intercept.

Step-by-step explanation:

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Ronisha invests $5000 in an account that earns 2.3% annual simple interest. After 3 years, Ronisha invests the interest earned i
tia_tia [17]
Very complicated problem, but thank goodness I have too much time and am a nerd.

Basically model 1st account as so.
Fv=pv(1+I)^N
Fv future value
Pv present value
I interest
N number years
So first equation is interest earned after 3 years
Y=5000(1+0.023)^3
Y=5353 (rounded up)
So we know that the interest earned is 5353-5000 which is 353.

Now Ronisha (clearly the name of a future investment genius) invests these 353$ in a new account.
Now remember we’re not solving for FV we’re cause we’re given that: 55.2$
However this is the interest earned not the future value. So if interest earned is fv - pv and we know pv
Fv - 353 = 55.2
Fv = 408.2$
So now we reuse the formula
408.2 = 353(1+0.032)^x
Now just solve for x:
First divide both sides by 353
1.156 = 1.032^x
Remember the log rule that states x=b^y is same as y=logb(x)
So using the same logic:
X= log1.032(1.156)
Use some kind of calculator for that where you can adjust log base. But you basically get:
X= 4.602
So Ronisha has to basically invest 5 years or 4.6 years which is 4 years and 7 months.

Omg nevermind, wait it’s simple interest….
Sorry here’s the simple solution. My bad, but I worked so hard on the top part I don’t want to delete it.
I=prt
Interest = principal * rate * time
I= 5000(0.023)(3)=345
Then just do the same but plug 55.2 for I
55.2 = 345(0.032)t
Now solve for t
55.2 = 11.04t
t= 5

As you can see, similar logic where ultimately it takes 5 years. But this “genius” Ronisha should’ve just done compounding interest (my first calculation) and gotten it done in 4.6 years. Almost 5 months faster.
6 0
2 years ago
A hiker standing at point G wants to estimate the distance across the lake to point H, which is directly north of her location.
riadik2000 [5.3K]

Answer:

D

Step-by-step explanation:

The diagram is attached.

Looking at the diagram, we want the side "opposite" of the angle given and the side "adjacent" is given.

Which ratio relates opposite and adjacent? It is Tan.

We can use trigonometry and tan ratio to solve for the distance "x":

Tan(84)=\frac{x}{650}\\x=Tan(84)*650\\x=6184.4

D is the correct answer.

5 0
3 years ago
Please answer the question shown in the attachment.
Ede4ka [16]

Answer:

its A

Step-by-step explanation:

5 0
2 years ago
The
stiv31 [10]

Answer:

x = -3. Y = 12

Step-by-step explanation:

the answer is D

6 0
3 years ago
Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree
Alika [10]

Answer:

the area sector is 123.2

7 0
3 years ago
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