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astraxan [27]
3 years ago
13

The sum of a number and 6 is greater than or equal to -4

Mathematics
1 answer:
olga2289 [7]3 years ago
4 0
N is greater than or equal to -10
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Logan wants to have $130,000 to pay for a surgery on his retractable forearm claws in 30 months. If he can invest money in an ac
dangina [55]

Answer: $107,836.69 or about $107,837 (to the nearest dollar)

Step-by-step explanation:

Formula to the  accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

A=P(1+\dfrac{r}{12})^{t}

As per given , A = $130,000

r= 7.5% = 0.075

t= 30 months

Now,

130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\   P=\dfrac{130000}{1.2055266}=107,836.69

Hence he need to invest $107,836.69 .

8 0
3 years ago
The transformation of triangle abc is an example of what
Dovator [93]
Reflect over the Y axis
8 0
3 years ago
List the sides of the triangle in order from shortest to longest.
katen-ka-za [31]

Answer:

Angle M = 120 degrees

Shortest side = MN

Middle Side = MO

Longest side = ON

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Anna is draining water out of a 50 gallon rain barrel. The graph shows the relationship between time in minutes and the gallons
tatiyna

Answer:

6 < x ≤ 20

Step-by-step explanation:

First, let's use the points (0, 50) and (20, 0) to find the equation of the line.

m = Δy / Δx

m = (0 − 50) / (20 − 0)

m = -2.5

y = -2.5x + 50

Now find the time when y = 35.

35 = -2.5x + 50

-15 = -2.5x

x = 6

So there is less than 35 gallons in the barrel when 6 < x ≤ 20.

7 0
3 years ago
A mouse scurries across your kitchen floor at 2.0 feet per second. How many miles can the mouse travel in 1.5 hours (rounded to
Mila [183]

Given

A mouse scurries across your kitchen floor at 2.0 feet per second.

Find out the mouse travel in 1.5 hours.

To proof

FORMULA

Distance = speed × time

1foot = \frac{1}{5280} miles

Convert feet per second into miles per second

= \frac{2.0}{5280}

As given in the question

Time = 1.5 hours

1 hours = 3600 second

Time convert in the second

Time = 1.5 × 3600 second

       = 5400 second

put all these value in the above formula

we get

Distance= \frac{2.0\times 1.5 \times 3600}{5280}

Distance= \frac{10800}{5280}

= 2.04 (approx) miles

= 2.0 miles

Hence proved

                   


           






4 0
3 years ago
Read 2 more answers
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