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3 years ago

-3t +9 _> -21 Please help me solve this! Thanks, you’re a lifesaver!

1 answer:

7 0

Answer is t_<10

-3t+9_>-21

-3t_>-30

t_<10

**when you divide or multiply both sides by a negative you have to flip the sign**

you can substitute numbers to make sure your answer is correct. For example if u substitute t=9 -27+9_>-21 -18_>-21 which is correct.(but you’ll see it’ll be incorrect if u put t=11)

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In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does

Gelneren [198K]

That's just the diagonal of the 90-ft square.

It's also the hypotenuse of a right triangle with equal 90-ft legs.

Hypotenuse = √(90² + 90²) = √2(90²) = 90 √2 = <span>127.3 ft </span>

3 0

3 years ago

max invests $6000 in a savings account for 3 years. the account pays compound interest at a rate of 1.5% per year for the first

madam [21]

Answer:

2.1%

Step-by-step explanation:

The formula for compound interest is given as:

$A=P(1+I)^n\\\\P-Principal \\A-amount\\i-compound \ interest \ rate$

Given the Principal amount as $6000, and the rate in the first two years as 1.5%:

$A=P(1+i)^n\\\\A_2=6000(1+0.015)^2\\\\A_2=6181.35$

We compound $A_2$ for 1 year at rate i to obtain $6311.16:

$A=P(1+i)^n, n=1, i=i, P=6181.35, A=6311.16\\\\6311.16=6181.35(1+i)^1\\\\\frac{6311.16}{6181.35}=(1+i)\\\\i=\frac{6311.16}{6181.35}-1\\\\i=0.02100$

Hence, the compound interest rate in the third year is 2.1%

7 0

4 years ago

Read 2 more answers

Clara has $67 in her piggy bank. She spent x dollars on a dog bowl and now has $57.4 remains.

kolezko [41]

Answer:

B) 57.4+x=67

Step-by-step explanation:

We take the amount in the piggy bank. Then we take the amount spent and add it to the amount she has left. These two amounts should be equal

piggy bank = spent + left

67 = x + 57.40

6 0

4 years ago

Represents a exponential form

lidiya [134]

5^4 that is how to represent an exponent

6 0

4 years ago

Read 2 more answers

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A

Virty [35]

Answer:

0.5

option A

0.6

0.1

Step-by-step explanation:

The event A and B are independent so

P(A∩B)=P(A)*P(B)

P(A∩B)=P(0.2)*P(0.5)=0.10

We have to find P(B'|A')

P(B'|A')=P(B'∩A')/P(A')

P(A)=0.2

P(A')=Asian project is not successful=1-P(A)=1-0.2=0.8

P(B)=0.5

P(B')=Europe project is not successful=1-P(B)=1-0.5=0.5

P(B'∩A')=Europe and Asia both project are not successful=P(A')*P(B')=0.8*0.5=0.4

P(B'|A')=P(B'∩A')/P(A')=0.4/0.8=0.5

This can be done by another independence property for conditional probability

P(B|A)=P(B)

P(B'|A')=P(B')

P(B'|A')=0.5

Probability of at least one of two projects will be successful means that the probability of success of Asia project or probability of success of Europe project or probability of success of Europe and Asian project which is P(AUB).

P(AUB)=P(A)+P(B)-P(A∩B)

P(AUB)=0.2+0.5-0.1

P(AUB)=0.6

Probability of only Asian project is successful given that at least one of the two projects is successful means that probability of success of project Asia while the project Europe is not successful denoted as P((A∩B')/(A∪B))=?

P((A∩B')/(A∪B))=P((A∩B')∩(A∪B))/P(A∪B)

P((A∩B')∩(A∪B))=P(A∩B')*P(A∪B)

P(A∩B')=P(A)*P(B')=0.2*0.5=0.10

P((A∩B')∩(A∪B))=0.1*0.6=0.06

P((A∩B')/(A∪B))=0.06/0.6=0.1

4 0

3 years ago