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Vera_Pavlovna [14]

3 years ago

7

A boat travels at a rate of 18 kilometers per hour from its port. A second boat is 34 kilometers behind the

1 answer:

Anna11 [10]3 years ago

3 0

Answer:

The second boat will catch up in 8.5 hours, and they will be 187 km from their port.

Step-by-step explanation:

Since the system of equations are d=18t+34 and d=22t, you first rewrite d=18t+34 as an equation. 18t+34=22 and that equals to 8.5=t. Then you solve the next one d=22t and the answer you got from the other equation, you substitute d=22(8.5) and that equals to 187.

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In a particular class, exams are worth 50% of the overall grade, quizzes are worth 30% of the overall grade, homework is worth 1

Paha777 [63]

Answer:

The student's overall grade is 85.79%

Step-by-step explanation:

Given in the question that:

Exam = 50%; Quiz = 30%, Home work = 15% and Class participation = 5%

The total giving us 100%.

A particular student scored the following;

87.9% on exams, 77.8% quiz, 90% Home work and 100% on class participation

Calculating the percentages the student had for each;

Exam total = 50*0.879 = 43.95% earned

Quiz = 30*0.778 = 23.34% earned

Home work = 15*0.9 = 13.5% earned

Class participation = 5*1 = 5% earned

Total earned = 43.95+ 23.34 + 13.5+ 5 = 85.79%

3 0

3 years ago

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

<u><em>Interest compounded annually</em></u>

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

plezzz help me answer this question and i'll give you 5 starts and if you are the stalker who's been stalking plz stop! And imag

umka2103 [35]

Answer:

3x=x+30

2x=30

x=15

3(15)=45

15+30=45

45 for both

hope that answers your question

Step-by-step explanation:

7 0

2 years ago

Need help with school work

vichka [17]

15^2 + 36^2 = 39^2

Your answer is 39

3 0

3 years ago

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Robert had $58.62 in his bank account. He got paid $142.76. He then bought a new jacket for $63.76. He also bought 2 new movies

Eddi Din [679]

Robert now has $135.64.

3 0

3 years ago

Read 2 more answers