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2 years ago

Which of the following statements is NOT true?

Mathematics

1 answer:

allochka39001 [22]2 years ago

3 0

Answer:

2nd option if NOT true

Step-by-step explanation:

AB to BC to AC all have a slope of 2/3

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3. How much interest does $5300 earn at a rate of 2.8% interest compounded quarterly after 6

azamat

Answer:

The interest is $I=\$74.46$

Step-by-step explanation:

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

$t=6/12=0.5\ years\\ P=\$5,300\\ r=0.028\\n=4$

substitute in the formula above

$A=5,300(1+\frac{0.028{4})^{4*0.5}$

$A=5,300(1.007)^{2}$

$A=\$5,374.46$

<em>Find the interest</em>

$I=A-P$

substitute

$I=\$5,374.46-\$5,300=\$74.46$

5 0

2 years ago

Patrick has 2 fewer ten dollar bills than brennna patrick has $64 how much money does brenna have

gavmur [86]

Answer:

$84

Step-by-step explanation:

Since Patrick has 2 ten dollar bills less than Brenna, then he has $20 less then Brenna. If Patrick $64, then Brenna has $84, because you would add 20 to 64. Which equals 84.

8 0

3 years ago

Read 2 more answers

What exponent goes with the area of a triangle

user100 [1]

Answer:

its just 1/2 times base times height

Step-by-step explanation:

7 0

3 years ago

Given right triangle GYK, what is the value of tan(G)?

Ludmilka [50]

<u>Answer:</u>

The value of tan(G) in the right triangle GYK Is $\sqrt{3}$

<u>Step-by-step explanation:</u>

Given

Measure of angle at $G=60^{\circ}$

Measure of angle at $Y=30^{\circ}$

Measure of angle at $K=90^{\circ}$

To find:

$\tan (G)=?$

Solution:

In trigonometry we know that

$\tan G=\frac{\sin G}{\cos G}$

$G=60^{\circ}$

So,

$\sin (60)=\frac{\sqrt{3}}{2}$

$\cos (60)=\frac{1}{2}$

Substituting in the formula we have,

$\tan G=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$

$\tan G=\frac{\sqrt{3}}{2} \times \frac{2}{1}$

$\tan G=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$

$\tan G=\sqrt{3}$

Result:

Thus the value of $\tan G=\sqrt{3}$

8 0

2 years ago

Read 2 more answers

Find the exact length of the curve.<br> x = 5 + 9t2, y = 4 + 6t3, 0 ≤ t ≤ 3

kodGreya [7K]

The exact length of the curve given the following system of inequalities is ≈ 1637.

<h3>What is a system of inequalities?</h3>

A system of inequalities refers to a set of two or more inequalities with one or more variables. This kind of system is used when a problem needs a range of solutions a there is over one constraint.

<h3>What is the length of the curve with the above system of inequalities?</h3>

Step One - Let's restate the equations

We have:

x = 5 + 9t²

y = 4 + 6t³

Where

0 ≤ t ≤ 3

Step 2 - Differentiate them

The first derivative of dx/dt

= d/dt [9t² + 5)

= 9 * (d/dt) (t²) + (d/dt) (5)

= 9.2t + 0

= 18t

Also differentiate (dy/dt)

= d/dt [6t² + 4]

= 6 * (d/dt) [t³] + (d/dt) [4]

= 6.3 t² + 0

= 18t²

To find the length of the arc:

L = $\[ \int_{0}^{4} \sqrt{(\frac{dx}{dt})^{2} + (\frac{dy}{dt})^{2} dt }$

We can thus deduce that:

= $\[ \int_{0}^{4} \sqrt{(\fra18t)^{2} + ({18t^{2} )^{2} dt }$

= $\int_{0}^{4}[18t \sqrt{1 + {18t^{2} ]$

Compute the definite integral and factor out the constraints and we have:

dt = 4912/3

≈ 1,637.3

Hence the exact length of the curve is

≈ 1637

Learn more about the system of inequalities at:
brainly.com/question/9774970
#SPJ1

3 0

2 years ago