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wariber [46]
3 years ago
12

Suppose you have $1750 in your savings account at the end of a certain period of time. You invested $1500 at a 3.72% simple annu

al interest rate. How long, in years, was your money invested?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

Answer:

4.48 years

Step-by-step explanation:

The formula for simple interest is

A = P(1+r*t), with A being the final amount, P being the initial amount, r being the interest rate, and t being the time. Plugging our values in, we get

1750 = 1500(1+0.0372 * t)

Note that 3.72 was translated into 0.0372 as changing percents to decimals requires dividing by 100

Expanding our equation, we get

1750 = 1500 + 55.8 * t

subtract 1500 from both sides to isolate the t and its coefficient

250 = 55.8 * t

divide both sides by 55.8 to get t

t = 4.48

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Plz solve if you can. Show ur work. I will name Brainliest! (: I need help plzzzzzzzzzz, especially on the check your work part.
maksim [4K]

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

<u>Check your work</u>

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

<u>Check your work</u>

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

<u>Check your work</u>

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

<em>Hope it helps <3</em>

6 0
3 years ago
PLEASE HELP ME THIS IS DUE SOONNN. ILL MAKE IT A LOT OF POINTS AND IF U ANSWER BOTH CORRECTLY ILL GIVE YOU BRAINLIEST PLEASE
alex41 [277]

Answer:

Step-by-step explanation:

3000   600

5000   1000

6000   1200

7500   1500

No it doesn't form a proportional relationship because yes, the ratio is constant AFTER the 5,000, you do need to hit the 5,000 first, and then it changes. So no, it's not proportional because it isn't constant throughout the entirety of the relationship. If you're just going based on the table in question, then yes it will be proportional since it doesn't have the 5,000 in it but if you're looking at it in it's entirety, no it's not.

7 0
3 years ago
Which expression is equivalent to 5x+10y-15?
Papessa [141]

Answer:

Step-by-step explanation:

I think it's 5(x+2y-3)

5 0
2 years ago
An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
Solve using elimination -3x-4y=-1 and 3x-y=-4 *<br><br> (1,1)<br> (-1,1)<br> (1,-1)<br> (-1,-1)
galina1969 [7]
Using elimination (-1,1)
5 0
3 years ago
Read 2 more answers
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