Write an inequality that represents the situation below:

Mathematics

1 answer:

stellarik [79]3 years ago

5 0

Answer:

4 ( x - 2) > 5

Step-by-step explanation:

I think that's the right answer

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Shota invests $2000 in a certificate of deposit that earns 2% in interest each year.Write a function that gives the total v(t) i

brilliants [131]

Answer:

The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal × $( 1.02) ^ {time}$ where v(t) is the interest after t years .

Step-by-step explanation:

Principal amount invested by Shota is $2000.

Interest is earned at 2% per year.

Time for which the principal is invested is t years.

Therefore let the total interest be v(t) dollars in t years.

Case 1: Simple Interest.

v(t) = (principal × time × $\frac{r}{100}$ ) = (2000 × t × 0.02) = 40t

Case 2: Compound Interest.

v(t) = Principal × $( 1+ \frac{r}{100}) ^ {t}$ - Principal = 2000 × $( 1.02) ^ {t}$ - 2000.

7 0

4 years ago

The endpoints of one diagonal of a rhombus are (-5,2) and (1,6). If the coordinates of the 3rd vertexare (-6,10), what arethe co

Naya [18.7K]

Look at the picture.

$E\left(\dfrac{-5+1}{2};\ \dfrac{2+6}{2}\right)\to E\left(\dfrac{-4}{2};\ \dfrac{8}{2}\right)\to E(-2;\ 4)$

$\vec{BE}=[-2-(-6);\ 4-10]=[4;\ -6]$

$D(x;\ y)\\\\\vec{ED}=[x-(-2);\ y-4]=[x+2;\ y-4]\\\\\vec{ED}=\vec{BE}\ therefore\\\\ \ [x+2;\ y-4]=[4;\ -6]\to x+2=4\ and\ y-4=-6\\\\x=2\ and\ y=-2\\\\Answer:\ \boxed{A.\ (2;\ -2)}$