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3 years ago

Can someone help me, please

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Answer:

3. 108.982 feet per second

so yes faster than 100 feet per second

5. 46.336°

6. 31.999°

7. 73.301°

8. 18.435°

Step-by-step explanation:

3. tan(16)= 250/x

x=250/tan(16)

x= 871.853611

speed=871.853611/8

= 108.982 feet per second

so yes faster than 100 feet per second

4. I do not understand the formulation of the question

5. sinx= 3.4/4.7

asin*(to the power of -1)*(3.4/4.7)=x

x=46.336

6.tanx=4,532/7253

atan*(power -1)* (4,532/7253)=x

x=31.999

7.tanx=500/150

x=73.301

8. tanx=30/10

atan(30/10)=x

x=71.56505118

90-71.56505118=18.43494882(the final angle)

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Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%

katrin2010 [14]

Answer:

In the account that paid 6% Susan invest $\$6,000$

In the account that paid 5% Susan invest $\$4,000$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

$t=1\ years\\ P=\$x\\r=0.06$

substitute in the formula above

$I1=x(0.06*1)$

$I1=0.06x$

Part b) account that paid 5% simple interest per year

in this problem we have

$t=1\ years\\ P=\$10,000-\$x\\r=0.05$

substitute in the formula above

$I2=(10,000-x)(0.05*1)$

$I2=500-0.05x$

we know that

$I1+I2=\$560$

substitute and solve for x

$0.06x+500-0.05x=560$

$0.01x=560-500$

$0.01x=60$

$x=\$6.000$

therefore

In the account that paid 6% Susan invest $\$6,000$

In the account that paid 5% Susan invest $\$4,000$

6 0

3 years ago

The equation of the line that goes through the point (−10,8) and (−3,-4) can be written in the form y=mx+b

Y_Kistochka [10]

Answer:

m is -12/7 and b is -64/7

Step-by-step explanation:

Use rise over run (change in y / change in x) to find the slope, m:

(-4 - 8) / (-3 + 10)

= -12/7

So, m is -12/7.

Plug in this value and a point into y = mx + b, then solve for b:

y = mx + b

-4 = -12/7(-3) + b

-4 = 36/7 + b

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So, m is -12/7 and b is -64/7

8 0

3 years ago

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babymother [125]

Answer:

The future value of the investment after 10 years is $ 29,240.53

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Principal = $ 17,500

Interest rate = 5.2% = 0.052 compounded semiannually

Time = 10 years = 20 semesters

2. What is the future value of the investment after 10 years?

Let's use the formula of the Future Value, to calculate it for this investment:

FV = P * (1 + r) ⁿ

Let's replace with the real values:

FV = 17,500 * (1 + 0.052/2)²⁰

FV = 17,500 * 1.670887521

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6 0

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Naily [24]

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The answer:
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Hope I could be of help:)

3 0

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Andreyy89

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