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Art [367]
3 years ago
11

Your grandmother has given you a gift of $1500 for your birthday. You are thinking about your future and

Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Answer:

OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for "thinking about your future"

Step-by-step explanation:

In the absence of any more information, I am going to assume that Simple Interest applies. (see attached)

hence the applicable formula is:

A = P(1+rt), where

A = final amount after t years

P = Principal (beginning) amount ($1500 for option A and $1000 for option B)

r = annual interest rate (5% = 0.05 for option A and 5.5% = 0.055 for option B)

t = time (we are asked to evaluate t = 10 years and t = 20 years)

<u>For option A </u>:

P = $1500 and r = 5% = 0.05

A = P(1+rt)

A = 1500 [ 1 + (0.05)t]

at 10 years: A = 1500 [ 1 + (0.05)(10)] = $2,250

at 20 years: A = 1500 [ 1 + (0.05)(20)] =$3,000

<u>For option B </u>:

P = $1000 and r = 5.5% = 0.055

A = P(1+rt)

A = 1000 [ 1 + (0.055)t]

at 10 years: A = 1000 [ 1 + (0.055)(10)] = $1,550

at 20 years: A = 1000 [ 1 + (0.055)(20)] = $2,100

Comparing all the 4 results above, we can see that OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for long term returns.

Setler [38]3 years ago
4 0

Answer:

B

Step-by-step explanation:

if you put the rest of your money in a savings account you can use that money for your college fund or maybe buy a car ect.

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Chen chooses a prime number he multiple s it by 10 and then rounds it to the nearest hundred his answer is 400 write all the pos
poizon [28]
It would most likely be 41 because when you would round 41 after you would × 41 times 10 equals 410 then you would round it to 400
6 0
3 years ago
A press release describing the 1986 nonstop, round-the-world trip by the aircraft voyager including the following data:
adoni [48]

Answer:

a.) the average speed of the aircraft in miles per hour

115.76 miles/ hour

b.) the fuel consumption in miles per pound of fuel

(assume a density of 0.70 g/mL for the fuel.)

2.8 miles/Ib of fuel

Step-by-step explanation:

A press release describing the 1986 nonstop, round-the-world trip by the aircraft voyager including the following data:

flight distance: 25,012 miles

flight time: 9 days, 3 min., 44 seconds

fuel capacity: nearly 9000 lbs.

fuel remaining at the end of flight: 14 gal.

To the maximum number of significant figure permitted, calculate:

a.) the average speed of the aircraft in miles per hour

Step 1

We convert the time to hours

flight time: 9 days, 3 min., 44 seconds

1 day = 24 hours

9 days =

24 × 9

= 216 hours

60 mins = 1 hour

3 mins =

3/60 = 1/20 = 0.05 hours

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60 × 60 = 3600 seconds

If 3600 seconds = 1 hour

44 seconds =

= 44/3600

= 0.0122222222 hours

Total number of hours spent = (216 + 0.05 + 0.0122222222) hours

= 216.06222222 hours

Speed = Distance/Time

= flight distance: 25,012 miles

Speed = 25,012 miles/ 216.06222222hours

= 115.76294895 miles/ hour

Approximately = 115.76 miles/ hour

b.) the fuel consumption in miles per pound of fuel

(assume a density of 0.70 g/mL for the fuel.)

Step 1

We determine how much fuel is used

We have 14 gallons of fuel left over

1 gallon = 3.785 litres

14 gallons =

Cross Multiply

14 gallons × 3.785 liters/1 gallon

= 52.9958 liters

Note that density of fuel =

0.70 g/ml

1 gram / millilitre = 1 kilogram / litre

Hence, 0.7g/ml = 0.7 kg/L

Hence,the mass of fuel left = 52.9958 liters * 0.7 = 37.09706kg

1 kilogram = 2.205 pounds

37.09706kg =

37.09706kg × 2.205 pounds

= 81.7990173 lbs

Since the full capacity = 9000 lbs

The fuel used = 9000 - 81.7990173 lbs

= 8918.2009827 lbs

Hence, fuel consumption is

Distance/ amount of fuel used

25012/8918.2009827 lbs = 2.8046015164 miles/lb of fuel

Approximately = 2.8 miles/Ib of fuel

7 0
3 years ago
What is the slope of this ?
zysi [14]

Answer:

Essentially, slope is rise/run. Rise is how many units up the graph, and run is how far to the left or right it goes. Rise will be negative if it's going down, and run will be negative if it's going left. There's two ways to find the slope in this case.

1. Stick to the more visual aspect of it, and count how many units up from one point to the next point. Point (1,2) is 2 units up from point (0,0). Then you count how many units right or left it goes. In this case, it's 1 towards the right. This means the rise/run comes out to be 2/1, which means the slope=2.

2. Look at the equations. y=mx+b is the linear format for these lines. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y intercept (the point where x=0). These two lines have shared slope values, which means the slope for both of them is 2.

(please brainliest?)

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3 years ago
Help!! Which number is NOT in scientific notation?
ki77a [65]

D is not in correct scientific notation. To be correct, the answer would be 5.0 x 10^2

If this helped you, please list me as brainliest!

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3 years ago
Patrick is constructing the circumscribed circle for △RST. Which construction could be his first step?
Gnom [1K]
Construct the perpendicular bisector of ST
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