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bonufazy [111]
3 years ago
7

Pls help me with this, please thank you!!

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
Mr.chen drove 23 miles south from where he started. 3.25×50=162.5 is what you have to do first because it said that he drove north for 3.25 hours and each hour he drives for 50 miles. Then you have to subtract 162.5 from 185.5 so that you get how far he drove from where he started. 185.5 - 162.5= 23. So he drove 23 miles south from where he started. I hope this helps.
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Si se invierten $ 500 a una tasa de 5% anual. Hallar el valor futuro a 3 años si el interés es compuesto trimestralmente.
9966 [12]

Answer:

the future value is $5800.38

Step-by-step explanation:

Given that

The invested amount i.e present value is $500

The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%

The time period is 3 per year so for quartely it is 3 × 4 = 12

We need to find out the future value

So as we know that

Future value = Present value × (1 + rate of interest)^time

= $500 × (1 + 0.0125)^12

= $580.38

hence, the future value is $5800.38

5 0
2 years ago
What happened to the tutor option :(
ElenaW [278]

Answer: wym

Step-by-step explanation:

6 0
2 years ago
Divide 64.5 by 0.015, leaving the answer in standard form
belka [17]

Answer:

4.3 *10^3

Step-by-step explanation:

5 0
3 years ago
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nea
a_sh-v [17]
Check the picture below.

so the rhombus has the diagonals of AC and BD, now keeping in mind that the diagonals bisect each, namely they cut each other in two equal halves, let's find the length of each.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad 
C(\stackrel{x_2}{6}~,~\stackrel{y_2}{8})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{[6-(-4)]^2+[8-(-2)]^2}\implies AC=\sqrt{(6+4)^2+(8+2)^2}
\\\\\\
AC=\sqrt{10^2+10^2}\implies AC=\sqrt{10^2(2)}\implies \boxed{AC=10\sqrt{2}}\\\\
-------------------------------

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad 
D(\stackrel{x_2}{4}~,~\stackrel{y_2}{0})\qquad \qquad BD=\sqrt{[4-(-2)]^2+[0-6]^2}
\\\\\\
BD=\sqrt{(4+2)^2+(-6)^2}\implies BD=\sqrt{6^2+6^2}
\\\\\\
BD=\sqrt{6^2(2)}\implies \boxed{BD=6\sqrt{2}}

that simply means that each triangle has a side that is half of 10√2 and another side that's half of 6√2.

namely, each triangle has a "base" of 3√2, and a "height" of 5√2, keeping in mind that all triangles are congruent, then their area is,

\bf \stackrel{\textit{area of the four congruent triangles}}{4\left[ \cfrac{1}{2}(3\sqrt{2})(5\sqrt{2}) \right]\implies 4\left[ \cfrac{1}{2}(15\cdot (\sqrt{2})^2) \right]}\implies 4\left[ \cfrac{1}{2}(15\cdot 2) \right]
\\\\\\
4[15]\implies 60

7 0
3 years ago
Read 2 more answers
A man travels from A to B at 4 km/h and from B to A at 6 km/h. The total journey takes 45 minutes. Find the distance travelled.
lubasha [3.4K]

Answer:

d/4 + d/6=45/60 hours=3/4 hoursStep-by-step explanation:

3d+2d=12 x 3/4=9

5d=9

d=9/5 km ……………….

4 0
2 years ago
Read 2 more answers
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