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3 years ago

Solve for x please :))

Mathematics

1 answer:

grandymaker [24]3 years ago

7 0

Answer:

Step-by-step explanation:

90 - 65 = 25

Therefore, x is 25

Thenks and mark me brainliest :))

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Can a vector have a component greater than the vector's magnitude ?

Mars2501 [29]

Answer: No, it can never be greater. At most it can be equal though.

5 0

3 years ago

The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t

klio [65]

<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>

Solution:

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

The increasing function is given as:

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

$r = 5.8 \% = \frac{5.8}{100} = 0.058$

t = 2011 to 2014 = 3 years

Substituting the values, we get,

$y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91$

Thus the projected amount the average American spent on health care in 2014 is $ 10075.91

4 0

3 years ago

Pablo will take the 11:43 AM train to San Diego. The train is estimated to arrive in San Diego in 3 hours 45 minutes. What is th

11Alexandr11 [23.1K]

Answer:

3. 28pm

Step-by-step explanation:

11 43

+3 45

15 28

15.28-12

=3.28

5 0

2 years ago

The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win

tatuchka [14]

Answer:

15 races

Step-by-step explanation:

The team has competed in 45 and has won 30. So the success rate is:

Success rate is:

$Sccess\ rate=r= \frac{30}{45}*100\\ =66.7\ percent$

We have to find the number of races the team needs to win for 75% success rate

Which means that

$r = \frac{30+x}{45+x} = 0.75\\$

We have to solve the equation for x

$\frac{30+x}{45+x}=0.75\\ 30+x = 0.75(45+x)\\30+x=33.75+0.75x\\x-0.75x=33.75-30\\0.25x=3.75\\x=\frac{3.75}{0.25}\\ x=15$

The team needs to win 15 races to get 75% success rate ..

4 0

3 years ago

WILL GIVE BRAINLIEST Chang deposited $5000 into an account with a 4.8% annual interest rate, compounded monthly. Assuming that n

Mariulka [41]

Answer:

9.42 years (= 113 months)

Step-by-step explanation:

Use the compound rate interest formula:

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

where:

A = amount
P = principal
r = interest rate (in decimal format)
n = number of times interest is compounded per unit t
t = time

Given:

A = $7850
P = $5000
r = 4.8% = 0.048
n = 12
t = years

$\implies 7850=5000(1+\frac{0.048}{12})^{12t}$

$\implies 7850=5000(1.004)^{12t}$

$\implies \dfrac{7850}{5000}=(1.004)^{12t}$

$\implies 1.57=(1.004)^{12t}$

Take natural logs:

$\implies \ln1.57=\ln(1.004)^{12t}$

$\implies \ln1.57=12t\ln(1.004)$

$\implies t=\dfrac{\ln 1.57}{12 \ln1.004}$

$\implies t=9.42\textsf{ years (nearest hundredth)}$

$\implies t=113 \textsf{ months}$

5 0

2 years ago